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Finding the Third Proportional to 229,446 and 337,416

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Solution

The third proportional to 229,446 and 337,416 is: 496,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,446 : 337,416 = 337,416 : x
  2. Step 2: Convert to fraction form
    229,446/337,416 = 337,416/x
  3. Step 3: Cross multiply
    229,446x = 337,416 × 337,416
  4. Step 4: Simplify right side
    229,446x = 113,849,557,056
  5. Step 5: Solve for x
    x = 113,849,557,056/229,446
  6. Step 6: Final answer
    x = 496,193.25

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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.