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Finding the Third Proportional to 224,583 and 337,786

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Solution

The third proportional to 224,583 and 337,786 is: 508,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,583 : 337,786 = 337,786 : x
  2. Step 2: Convert to fraction form
    224,583/337,786 = 337,786/x
  3. Step 3: Cross multiply
    224,583x = 337,786 × 337,786
  4. Step 4: Simplify right side
    224,583x = 114,099,381,796
  5. Step 5: Solve for x
    x = 114,099,381,796/224,583
  6. Step 6: Final answer
    x = 508,049.95

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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.