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Finding the Third Proportional to 132,914.25 and 291,664.13

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Solution

The third proportional to 132,914.25 and 291,664.13 is: 640,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,914.25 : 291,664.13 = 291,664.13 : x
  2. Step 2: Convert to fraction form
    132,914.25/291,664.13 = 291,664.13/x
  3. Step 3: Cross multiply
    132,914.25x = 291,664.13 × 291,664.13
  4. Step 4: Simplify right side
    132,914.25x = 85,067,961,812.02
  5. Step 5: Solve for x
    x = 85,067,961,812.02/132,914.25
  6. Step 6: Final answer
    x = 640,021.38

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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.