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Finding the Third Proportional to 229,533.75 and 337,294.13

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Solution

The third proportional to 229,533.75 and 337,294.13 is: 495,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,533.75 : 337,294.13 = 337,294.13 : x
  2. Step 2: Convert to fraction form
    229,533.75/337,294.13 = 337,294.13/x
  3. Step 3: Cross multiply
    229,533.75x = 337,294.13 × 337,294.13
  4. Step 4: Simplify right side
    229,533.75x = 113,767,326,759.52
  5. Step 5: Solve for x
    x = 113,767,326,759.52/229,533.75
  6. Step 6: Final answer
    x = 495,645.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.