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Finding the Third Proportional to 110,713 and 237,549

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Solution

The third proportional to 110,713 and 237,549 is: 509,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,713 : 237,549 = 237,549 : x
  2. Step 2: Convert to fraction form
    110,713/237,549 = 237,549/x
  3. Step 3: Cross multiply
    110,713x = 237,549 × 237,549
  4. Step 4: Simplify right side
    110,713x = 56,429,527,401
  5. Step 5: Solve for x
    x = 56,429,527,401/110,713
  6. Step 6: Final answer
    x = 509,691.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.