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Finding the Third Proportional to 236.60 and 359.17

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Solution

The third proportional to 236.60 and 359.17 is: 545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.60 : 359.17 = 359.17 : x
  2. Step 2: Convert to fraction form
    236.60/359.17 = 359.17/x
  3. Step 3: Cross multiply
    236.60x = 359.17 × 359.17
  4. Step 4: Simplify right side
    236.60x = 129,005.84
  5. Step 5: Solve for x
    x = 129,005.84/236.60
  6. Step 6: Final answer
    x = 545.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.