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Finding the Third Proportional to 229,458 and 337,434

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Solution

The third proportional to 229,458 and 337,434 is: 496,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,458 : 337,434 = 337,434 : x
  2. Step 2: Convert to fraction form
    229,458/337,434 = 337,434/x
  3. Step 3: Cross multiply
    229,458x = 337,434 × 337,434
  4. Step 4: Simplify right side
    229,458x = 113,861,704,356
  5. Step 5: Solve for x
    x = 113,861,704,356/229,458
  6. Step 6: Final answer
    x = 496,220.24

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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.