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Finding the Third Proportional to 153,758.25 and 206,884.13

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Solution

The third proportional to 153,758.25 and 206,884.13 is: 278,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,758.25 : 206,884.13 = 206,884.13 : x
  2. Step 2: Convert to fraction form
    153,758.25/206,884.13 = 206,884.13/x
  3. Step 3: Cross multiply
    153,758.25x = 206,884.13 × 206,884.13
  4. Step 4: Simplify right side
    153,758.25x = 42,801,041,177.02
  5. Step 5: Solve for x
    x = 42,801,041,177.02/153,758.25
  6. Step 6: Final answer
    x = 278,365.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.