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Finding the Third Proportional to 185,404 and 278,112

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Solution

The third proportional to 185,404 and 278,112 is: 417,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,404 : 278,112 = 278,112 : x
  2. Step 2: Convert to fraction form
    185,404/278,112 = 278,112/x
  3. Step 3: Cross multiply
    185,404x = 278,112 × 278,112
  4. Step 4: Simplify right side
    185,404x = 77,346,284,544
  5. Step 5: Solve for x
    x = 77,346,284,544/185,404
  6. Step 6: Final answer
    x = 417,177.00

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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.