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Finding the Third Proportional to 224,274 and 337,353

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Solution

The third proportional to 224,274 and 337,353 is: 507,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,274 : 337,353 = 337,353 : x
  2. Step 2: Convert to fraction form
    224,274/337,353 = 337,353/x
  3. Step 3: Cross multiply
    224,274x = 337,353 × 337,353
  4. Step 4: Simplify right side
    224,274x = 113,807,046,609
  5. Step 5: Solve for x
    x = 113,807,046,609/224,274
  6. Step 6: Final answer
    x = 507,446.46

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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.