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Finding the Third Proportional to 185,287.50 and 251,685.56

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Solution

The third proportional to 185,287.50 and 251,685.56 is: 341,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,287.50 : 251,685.56 = 251,685.56 : x
  2. Step 2: Convert to fraction form
    185,287.50/251,685.56 = 251,685.56/x
  3. Step 3: Cross multiply
    185,287.50x = 251,685.56 × 251,685.56
  4. Step 4: Simplify right side
    185,287.50x = 63,345,622,370.94
  5. Step 5: Solve for x
    x = 63,345,622,370.94/185,287.50
  6. Step 6: Final answer
    x = 341,877.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.