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Finding the Third Proportional to 102,580 and 220,496

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Solution

The third proportional to 102,580 and 220,496 is: 473,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,580 : 220,496 = 220,496 : x
  2. Step 2: Convert to fraction form
    102,580/220,496 = 220,496/x
  3. Step 3: Cross multiply
    102,580x = 220,496 × 220,496
  4. Step 4: Simplify right side
    102,580x = 48,618,486,016
  5. Step 5: Solve for x
    x = 48,618,486,016/102,580
  6. Step 6: Final answer
    x = 473,956.78

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