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Finding the Third Proportional to 100,496 and 247,797

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Solution

The third proportional to 100,496 and 247,797 is: 611,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,496 : 247,797 = 247,797 : x
  2. Step 2: Convert to fraction form
    100,496/247,797 = 247,797/x
  3. Step 3: Cross multiply
    100,496x = 247,797 × 247,797
  4. Step 4: Simplify right side
    100,496x = 61,403,353,209
  5. Step 5: Solve for x
    x = 61,403,353,209/100,496
  6. Step 6: Final answer
    x = 611,002.96

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.