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Finding the Third Proportional to 224,246 and 337,314

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Solution

The third proportional to 224,246 and 337,314 is: 507,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,246 : 337,314 = 337,314 : x
  2. Step 2: Convert to fraction form
    224,246/337,314 = 337,314/x
  3. Step 3: Cross multiply
    224,246x = 337,314 × 337,314
  4. Step 4: Simplify right side
    224,246x = 113,780,734,596
  5. Step 5: Solve for x
    x = 113,780,734,596/224,246
  6. Step 6: Final answer
    x = 507,392.48

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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.