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Finding the Third Proportional to 781.88 and 1,142.25

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Solution

The third proportional to 781.88 and 1,142.25 is: 1,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.88 : 1,142.25 = 1,142.25 : x
  2. Step 2: Convert to fraction form
    781.88/1,142.25 = 1,142.25/x
  3. Step 3: Cross multiply
    781.88x = 1,142.25 × 1,142.25
  4. Step 4: Simplify right side
    781.88x = 1,304,735.06
  5. Step 5: Solve for x
    x = 1,304,735.06/781.88
  6. Step 6: Final answer
    x = 1,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.