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Finding the Third Proportional to 100,258 and 213,624

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Solution

The third proportional to 100,258 and 213,624 is: 455,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258 : 213,624 = 213,624 : x
  2. Step 2: Convert to fraction form
    100,258/213,624 = 213,624/x
  3. Step 3: Cross multiply
    100,258x = 213,624 × 213,624
  4. Step 4: Simplify right side
    100,258x = 45,635,213,376
  5. Step 5: Solve for x
    x = 45,635,213,376/100,258
  6. Step 6: Final answer
    x = 455,177.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.