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Finding the Third Proportional to 177.50 and 259.61

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Solution

The third proportional to 177.50 and 259.61 is: 379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 259.61 = 259.61 : x
  2. Step 2: Convert to fraction form
    177.50/259.61 = 259.61/x
  3. Step 3: Cross multiply
    177.50x = 259.61 × 259.61
  4. Step 4: Simplify right side
    177.50x = 67,398.04
  5. Step 5: Solve for x
    x = 67,398.04/177.50
  6. Step 6: Final answer
    x = 379.70

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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.