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Finding the Third Proportional to 224,280 and 337,362

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Solution

The third proportional to 224,280 and 337,362 is: 507,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,280 : 337,362 = 337,362 : x
  2. Step 2: Convert to fraction form
    224,280/337,362 = 337,362/x
  3. Step 3: Cross multiply
    224,280x = 337,362 × 337,362
  4. Step 4: Simplify right side
    224,280x = 113,813,119,044
  5. Step 5: Solve for x
    x = 113,813,119,044/224,280
  6. Step 6: Final answer
    x = 507,459.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.