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Finding the Third Proportional to 77,632 and 166,332

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Solution

The third proportional to 77,632 and 166,332 is: 356,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,632 : 166,332 = 166,332 : x
  2. Step 2: Convert to fraction form
    77,632/166,332 = 166,332/x
  3. Step 3: Cross multiply
    77,632x = 166,332 × 166,332
  4. Step 4: Simplify right side
    77,632x = 27,666,334,224
  5. Step 5: Solve for x
    x = 27,666,334,224/77,632
  6. Step 6: Final answer
    x = 356,377.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.