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Finding the Third Proportional to 185,820.50 and 280,470.75

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Solution

The third proportional to 185,820.50 and 280,470.75 is: 423,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820.50 : 280,470.75 = 280,470.75 : x
  2. Step 2: Convert to fraction form
    185,820.50/280,470.75 = 280,470.75/x
  3. Step 3: Cross multiply
    185,820.50x = 280,470.75 × 280,470.75
  4. Step 4: Simplify right side
    185,820.50x = 78,663,841,605.56
  5. Step 5: Solve for x
    x = 78,663,841,605.56/185,820.50
  6. Step 6: Final answer
    x = 423,332.42

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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.