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Finding the Third Proportional to 229,461 and 337,438

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Solution

The third proportional to 229,461 and 337,438 is: 496,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,461 : 337,438 = 337,438 : x
  2. Step 2: Convert to fraction form
    229,461/337,438 = 337,438/x
  3. Step 3: Cross multiply
    229,461x = 337,438 × 337,438
  4. Step 4: Simplify right side
    229,461x = 113,864,403,844
  5. Step 5: Solve for x
    x = 113,864,403,844/229,461
  6. Step 6: Final answer
    x = 496,225.52

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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.