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Finding the Third Proportional to 229,329.56 and 337,253.63

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Solution

The third proportional to 229,329.56 and 337,253.63 is: 495,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,329.56 : 337,253.63 = 337,253.63 : x
  2. Step 2: Convert to fraction form
    229,329.56/337,253.63 = 337,253.63/x
  3. Step 3: Cross multiply
    229,329.56x = 337,253.63 × 337,253.63
  4. Step 4: Simplify right side
    229,329.56x = 113,740,007,575.64
  5. Step 5: Solve for x
    x = 113,740,007,575.64/229,329.56
  6. Step 6: Final answer
    x = 495,967.49

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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.