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Finding the Third Proportional to 147,304.50 and 235,354.13

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Solution

The third proportional to 147,304.50 and 235,354.13 is: 376,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,304.50 : 235,354.13 = 235,354.13 : x
  2. Step 2: Convert to fraction form
    147,304.50/235,354.13 = 235,354.13/x
  3. Step 3: Cross multiply
    147,304.50x = 235,354.13 × 235,354.13
  4. Step 4: Simplify right side
    147,304.50x = 55,391,564,154.52
  5. Step 5: Solve for x
    x = 55,391,564,154.52/147,304.50
  6. Step 6: Final answer
    x = 376,034.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.