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Finding the Third Proportional to 186,153 and 278,478

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Solution

The third proportional to 186,153 and 278,478 is: 416,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,153 : 278,478 = 278,478 : x
  2. Step 2: Convert to fraction form
    186,153/278,478 = 278,478/x
  3. Step 3: Cross multiply
    186,153x = 278,478 × 278,478
  4. Step 4: Simplify right side
    186,153x = 77,549,996,484
  5. Step 5: Solve for x
    x = 77,549,996,484/186,153
  6. Step 6: Final answer
    x = 416,592.78

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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.