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Finding the Third Proportional to 147,339 and 226,604.25

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Solution

The third proportional to 147,339 and 226,604.25 is: 348,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,339 : 226,604.25 = 226,604.25 : x
  2. Step 2: Convert to fraction form
    147,339/226,604.25 = 226,604.25/x
  3. Step 3: Cross multiply
    147,339x = 226,604.25 × 226,604.25
  4. Step 4: Simplify right side
    147,339x = 51,349,486,118.06
  5. Step 5: Solve for x
    x = 51,349,486,118.06/147,339
  6. Step 6: Final answer
    x = 348,512.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.