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Finding the Third Proportional to 186,680 and 286,932

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Solution

The third proportional to 186,680 and 286,932 is: 441,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,680 : 286,932 = 286,932 : x
  2. Step 2: Convert to fraction form
    186,680/286,932 = 286,932/x
  3. Step 3: Cross multiply
    186,680x = 286,932 × 286,932
  4. Step 4: Simplify right side
    186,680x = 82,329,972,624
  5. Step 5: Solve for x
    x = 82,329,972,624/186,680
  6. Step 6: Final answer
    x = 441,021.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.