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Finding the Third Proportional to 715.25 and 1,142.13

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Solution

The third proportional to 715.25 and 1,142.13 is: 1,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.25 : 1,142.13 = 1,142.13 : x
  2. Step 2: Convert to fraction form
    715.25/1,142.13 = 1,142.13/x
  3. Step 3: Cross multiply
    715.25x = 1,142.13 × 1,142.13
  4. Step 4: Simplify right side
    715.25x = 1,304,449.52
  5. Step 5: Solve for x
    x = 1,304,449.52/715.25
  6. Step 6: Final answer
    x = 1,823.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.