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Finding the Third Proportional to 132,735 and 291,714

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Solution

The third proportional to 132,735 and 291,714 is: 641,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,735 : 291,714 = 291,714 : x
  2. Step 2: Convert to fraction form
    132,735/291,714 = 291,714/x
  3. Step 3: Cross multiply
    132,735x = 291,714 × 291,714
  4. Step 4: Simplify right side
    132,735x = 85,097,057,796
  5. Step 5: Solve for x
    x = 85,097,057,796/132,735
  6. Step 6: Final answer
    x = 641,104.89

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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.