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Finding the Third Proportional to 109,469 and 237,624

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Solution

The third proportional to 109,469 and 237,624 is: 515,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,469 : 237,624 = 237,624 : x
  2. Step 2: Convert to fraction form
    109,469/237,624 = 237,624/x
  3. Step 3: Cross multiply
    109,469x = 237,624 × 237,624
  4. Step 4: Simplify right side
    109,469x = 56,465,165,376
  5. Step 5: Solve for x
    x = 56,465,165,376/109,469
  6. Step 6: Final answer
    x = 515,809.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.