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Finding the Third Proportional to 251.88 and 510.13

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Solution

The third proportional to 251.88 and 510.13 is: 1,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.88 : 510.13 = 510.13 : x
  2. Step 2: Convert to fraction form
    251.88/510.13 = 510.13/x
  3. Step 3: Cross multiply
    251.88x = 510.13 × 510.13
  4. Step 4: Simplify right side
    251.88x = 260,227.52
  5. Step 5: Solve for x
    x = 260,227.52/251.88
  6. Step 6: Final answer
    x = 1,033.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.