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Finding the Third Proportional to 138,768 and 219,523.50

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Solution

The third proportional to 138,768 and 219,523.50 is: 347,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768 : 219,523.50 = 219,523.50 : x
  2. Step 2: Convert to fraction form
    138,768/219,523.50 = 219,523.50/x
  3. Step 3: Cross multiply
    138,768x = 219,523.50 × 219,523.50
  4. Step 4: Simplify right side
    138,768x = 48,190,567,052.25
  5. Step 5: Solve for x
    x = 48,190,567,052.25/138,768
  6. Step 6: Final answer
    x = 347,274.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.