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Finding the Third Proportional to 373.59 and 868.17

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Solution

The third proportional to 373.59 and 868.17 is: 2,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.59 : 868.17 = 868.17 : x
  2. Step 2: Convert to fraction form
    373.59/868.17 = 868.17/x
  3. Step 3: Cross multiply
    373.59x = 868.17 × 868.17
  4. Step 4: Simplify right side
    373.59x = 753,722.40
  5. Step 5: Solve for x
    x = 753,722.40/373.59
  6. Step 6: Final answer
    x = 2,017.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.