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Finding the Third Proportional to 229,369 and 337,294

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Solution

The third proportional to 229,369 and 337,294 is: 496,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,369 : 337,294 = 337,294 : x
  2. Step 2: Convert to fraction form
    229,369/337,294 = 337,294/x
  3. Step 3: Cross multiply
    229,369x = 337,294 × 337,294
  4. Step 4: Simplify right side
    229,369x = 113,767,242,436
  5. Step 5: Solve for x
    x = 113,767,242,436/229,369
  6. Step 6: Final answer
    x = 496,000.95

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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.