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Finding the Third Proportional to 132,600 and 291,504

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Solution

The third proportional to 132,600 and 291,504 is: 640,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,600 : 291,504 = 291,504 : x
  2. Step 2: Convert to fraction form
    132,600/291,504 = 291,504/x
  3. Step 3: Cross multiply
    132,600x = 291,504 × 291,504
  4. Step 4: Simplify right side
    132,600x = 84,974,582,016
  5. Step 5: Solve for x
    x = 84,974,582,016/132,600
  6. Step 6: Final answer
    x = 640,833.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.