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Finding the Third Proportional to 186,151.29 and 278,475.15

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Solution

The third proportional to 186,151.29 and 278,475.15 is: 416,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,151.29 : 278,475.15 = 278,475.15 : x
  2. Step 2: Convert to fraction form
    186,151.29/278,475.15 = 278,475.15/x
  3. Step 3: Cross multiply
    186,151.29x = 278,475.15 × 278,475.15
  4. Step 4: Simplify right side
    186,151.29x = 77,548,410,472.87
  5. Step 5: Solve for x
    x = 77,548,410,472.87/186,151.29
  6. Step 6: Final answer
    x = 416,588.09

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Why These Related Problems?

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