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Finding the Third Proportional to 186,310.76 and 278,714.36

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Solution

The third proportional to 186,310.76 and 278,714.36 is: 416,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,310.76 : 278,714.36 = 278,714.36 : x
  2. Step 2: Convert to fraction form
    186,310.76/278,714.36 = 278,714.36/x
  3. Step 3: Cross multiply
    186,310.76x = 278,714.36 × 278,714.36
  4. Step 4: Simplify right side
    186,310.76x = 77,681,691,944.36
  5. Step 5: Solve for x
    x = 77,681,691,944.36/186,310.76
  6. Step 6: Final answer
    x = 416,946.89

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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.