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Finding the Third Proportional to 132,914.25 and 291,663.75

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Solution

The third proportional to 132,914.25 and 291,663.75 is: 640,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,914.25 : 291,663.75 = 291,663.75 : x
  2. Step 2: Convert to fraction form
    132,914.25/291,663.75 = 291,663.75/x
  3. Step 3: Cross multiply
    132,914.25x = 291,663.75 × 291,663.75
  4. Step 4: Simplify right side
    132,914.25x = 85,067,743,064.06
  5. Step 5: Solve for x
    x = 85,067,743,064.06/132,914.25
  6. Step 6: Final answer
    x = 640,019.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.