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Finding the Third Proportional to 186,870 and 268,617

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Solution

The third proportional to 186,870 and 268,617 is: 386,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,870 : 268,617 = 268,617 : x
  2. Step 2: Convert to fraction form
    186,870/268,617 = 268,617/x
  3. Step 3: Cross multiply
    186,870x = 268,617 × 268,617
  4. Step 4: Simplify right side
    186,870x = 72,155,092,689
  5. Step 5: Solve for x
    x = 72,155,092,689/186,870
  6. Step 6: Final answer
    x = 386,124.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.