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Finding the Third Proportional to 229.50 and 360.25

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Solution

The third proportional to 229.50 and 360.25 is: 565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 360.25 = 360.25 : x
  2. Step 2: Convert to fraction form
    229.50/360.25 = 360.25/x
  3. Step 3: Cross multiply
    229.50x = 360.25 × 360.25
  4. Step 4: Simplify right side
    229.50x = 129,780.06
  5. Step 5: Solve for x
    x = 129,780.06/229.50
  6. Step 6: Final answer
    x = 565.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.