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Finding the Third Proportional to 165,729.80 and 253,411.03

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Solution

The third proportional to 165,729.80 and 253,411.03 is: 387,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,729.80 : 253,411.03 = 253,411.03 : x
  2. Step 2: Convert to fraction form
    165,729.80/253,411.03 = 253,411.03/x
  3. Step 3: Cross multiply
    165,729.80x = 253,411.03 × 253,411.03
  4. Step 4: Simplify right side
    165,729.80x = 64,217,150,759.19
  5. Step 5: Solve for x
    x = 64,217,150,759.19/165,729.80
  6. Step 6: Final answer
    x = 387,481.02

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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.