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Finding the Third Proportional to 132,726 and 291,696

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Solution

The third proportional to 132,726 and 291,696 is: 641,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,726 : 291,696 = 291,696 : x
  2. Step 2: Convert to fraction form
    132,726/291,696 = 291,696/x
  3. Step 3: Cross multiply
    132,726x = 291,696 × 291,696
  4. Step 4: Simplify right side
    132,726x = 85,086,556,416
  5. Step 5: Solve for x
    x = 85,086,556,416/132,726
  6. Step 6: Final answer
    x = 641,069.24

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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.