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Finding the Third Proportional to 229,412.25 and 337,351.50

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Solution

The third proportional to 229,412.25 and 337,351.50 is: 496,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,412.25 : 337,351.50 = 337,351.50 : x
  2. Step 2: Convert to fraction form
    229,412.25/337,351.50 = 337,351.50/x
  3. Step 3: Cross multiply
    229,412.25x = 337,351.50 × 337,351.50
  4. Step 4: Simplify right side
    229,412.25x = 113,806,034,552.25
  5. Step 5: Solve for x
    x = 113,806,034,552.25/229,412.25
  6. Step 6: Final answer
    x = 496,076.54

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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.