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Finding the Third Proportional to 185,040.70 and 278,927.93

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Solution

The third proportional to 185,040.70 and 278,927.93 is: 420,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,040.70 : 278,927.93 = 278,927.93 : x
  2. Step 2: Convert to fraction form
    185,040.70/278,927.93 = 278,927.93/x
  3. Step 3: Cross multiply
    185,040.70x = 278,927.93 × 278,927.93
  4. Step 4: Simplify right side
    185,040.70x = 77,800,789,959.76
  5. Step 5: Solve for x
    x = 77,800,789,959.76/185,040.70
  6. Step 6: Final answer
    x = 420,452.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.