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Finding the Third Proportional to 132,708 and 202,918

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Solution

The third proportional to 132,708 and 202,918 is: 310,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,708 : 202,918 = 202,918 : x
  2. Step 2: Convert to fraction form
    132,708/202,918 = 202,918/x
  3. Step 3: Cross multiply
    132,708x = 202,918 × 202,918
  4. Step 4: Simplify right side
    132,708x = 41,175,714,724
  5. Step 5: Solve for x
    x = 41,175,714,724/132,708
  6. Step 6: Final answer
    x = 310,273.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.