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Finding the Third Proportional to 319.97 and 510.14

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Solution

The third proportional to 319.97 and 510.14 is: 813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.97 : 510.14 = 510.14 : x
  2. Step 2: Convert to fraction form
    319.97/510.14 = 510.14/x
  3. Step 3: Cross multiply
    319.97x = 510.14 × 510.14
  4. Step 4: Simplify right side
    319.97x = 260,243.46
  5. Step 5: Solve for x
    x = 260,243.46/319.97
  6. Step 6: Final answer
    x = 813.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.