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Finding the Third Proportional to 138,228 and 207,870

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Solution

The third proportional to 138,228 and 207,870 is: 312,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,228 : 207,870 = 207,870 : x
  2. Step 2: Convert to fraction form
    138,228/207,870 = 207,870/x
  3. Step 3: Cross multiply
    138,228x = 207,870 × 207,870
  4. Step 4: Simplify right side
    138,228x = 43,209,936,900
  5. Step 5: Solve for x
    x = 43,209,936,900/138,228
  6. Step 6: Final answer
    x = 312,599.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.