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Finding the Third Proportional to 186,082 and 387,908

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Solution

The third proportional to 186,082 and 387,908 is: 808,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,082 : 387,908 = 387,908 : x
  2. Step 2: Convert to fraction form
    186,082/387,908 = 387,908/x
  3. Step 3: Cross multiply
    186,082x = 387,908 × 387,908
  4. Step 4: Simplify right side
    186,082x = 150,472,616,464
  5. Step 5: Solve for x
    x = 150,472,616,464/186,082
  6. Step 6: Final answer
    x = 808,636.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.