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Finding the Third Proportional to 138,404.75 and 226,000.25

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Solution

The third proportional to 138,404.75 and 226,000.25 is: 369,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404.75 : 226,000.25 = 226,000.25 : x
  2. Step 2: Convert to fraction form
    138,404.75/226,000.25 = 226,000.25/x
  3. Step 3: Cross multiply
    138,404.75x = 226,000.25 × 226,000.25
  4. Step 4: Simplify right side
    138,404.75x = 51,076,113,000.06
  5. Step 5: Solve for x
    x = 51,076,113,000.06/138,404.75
  6. Step 6: Final answer
    x = 369,034.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.