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Finding the Third Proportional to 134.38 and 317.38

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Solution

The third proportional to 134.38 and 317.38 is: 749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.38 : 317.38 = 317.38 : x
  2. Step 2: Convert to fraction form
    134.38/317.38 = 317.38/x
  3. Step 3: Cross multiply
    134.38x = 317.38 × 317.38
  4. Step 4: Simplify right side
    134.38x = 100,726.89
  5. Step 5: Solve for x
    x = 100,726.89/134.38
  6. Step 6: Final answer
    x = 749.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.