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Finding the Third Proportional to 118,494 and 253,665

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Solution

The third proportional to 118,494 and 253,665 is: 543,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,494 : 253,665 = 253,665 : x
  2. Step 2: Convert to fraction form
    118,494/253,665 = 253,665/x
  3. Step 3: Cross multiply
    118,494x = 253,665 × 253,665
  4. Step 4: Simplify right side
    118,494x = 64,345,932,225
  5. Step 5: Solve for x
    x = 64,345,932,225/118,494
  6. Step 6: Final answer
    x = 543,031.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.