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Finding the Third Proportional to 150,853.50 and 207,801.56

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Solution

The third proportional to 150,853.50 and 207,801.56 is: 286,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,853.50 : 207,801.56 = 207,801.56 : x
  2. Step 2: Convert to fraction form
    150,853.50/207,801.56 = 207,801.56/x
  3. Step 3: Cross multiply
    150,853.50x = 207,801.56 × 207,801.56
  4. Step 4: Simplify right side
    150,853.50x = 43,181,489,377.44
  5. Step 5: Solve for x
    x = 43,181,489,377.44/150,853.50
  6. Step 6: Final answer
    x = 286,247.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.