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Finding the Third Proportional to 178.50 and 413.13

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Solution

The third proportional to 178.50 and 413.13 is: 956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 413.13 = 413.13 : x
  2. Step 2: Convert to fraction form
    178.50/413.13 = 413.13/x
  3. Step 3: Cross multiply
    178.50x = 413.13 × 413.13
  4. Step 4: Simplify right side
    178.50x = 170,672.27
  5. Step 5: Solve for x
    x = 170,672.27/178.50
  6. Step 6: Final answer
    x = 956.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.