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Finding the Third Proportional to 186,846 and 268,605

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Solution

The third proportional to 186,846 and 268,605 is: 386,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,846 : 268,605 = 268,605 : x
  2. Step 2: Convert to fraction form
    186,846/268,605 = 268,605/x
  3. Step 3: Cross multiply
    186,846x = 268,605 × 268,605
  4. Step 4: Simplify right side
    186,846x = 72,148,646,025
  5. Step 5: Solve for x
    x = 72,148,646,025/186,846
  6. Step 6: Final answer
    x = 386,139.63

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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.