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Finding the Third Proportional to 177.38 and 259.31

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Solution

The third proportional to 177.38 and 259.31 is: 379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 259.31 = 259.31 : x
  2. Step 2: Convert to fraction form
    177.38/259.31 = 259.31/x
  3. Step 3: Cross multiply
    177.38x = 259.31 × 259.31
  4. Step 4: Simplify right side
    177.38x = 67,242.97
  5. Step 5: Solve for x
    x = 67,242.97/177.38
  6. Step 6: Final answer
    x = 379.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.