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Finding the Third Proportional to 170,983.13 and 256,566.38

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Solution

The third proportional to 170,983.13 and 256,566.38 is: 384,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,983.13 : 256,566.38 = 256,566.38 : x
  2. Step 2: Convert to fraction form
    170,983.13/256,566.38 = 256,566.38/x
  3. Step 3: Cross multiply
    170,983.13x = 256,566.38 × 256,566.38
  4. Step 4: Simplify right side
    170,983.13x = 65,826,304,780.64
  5. Step 5: Solve for x
    x = 65,826,304,780.64/170,983.13
  6. Step 6: Final answer
    x = 384,987.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.