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Finding the Third Proportional to 170,759.81 and 254,755.13

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Solution

The third proportional to 170,759.81 and 254,755.13 is: 380,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,759.81 : 254,755.13 = 254,755.13 : x
  2. Step 2: Convert to fraction form
    170,759.81/254,755.13 = 254,755.13/x
  3. Step 3: Cross multiply
    170,759.81x = 254,755.13 × 254,755.13
  4. Step 4: Simplify right side
    170,759.81x = 64,900,173,713.77
  5. Step 5: Solve for x
    x = 64,900,173,713.77/170,759.81
  6. Step 6: Final answer
    x = 380,067.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.