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Finding the Third Proportional to 77,632 and 166,928

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Solution

The third proportional to 77,632 and 166,928 is: 358,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,632 : 166,928 = 166,928 : x
  2. Step 2: Convert to fraction form
    77,632/166,928 = 166,928/x
  3. Step 3: Cross multiply
    77,632x = 166,928 × 166,928
  4. Step 4: Simplify right side
    77,632x = 27,864,957,184
  5. Step 5: Solve for x
    x = 27,864,957,184/77,632
  6. Step 6: Final answer
    x = 358,936.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.