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Finding the Third Proportional to 80,896 and 176,896

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Solution

The third proportional to 80,896 and 176,896 is: 386,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,896 : 176,896 = 176,896 : x
  2. Step 2: Convert to fraction form
    80,896/176,896 = 176,896/x
  3. Step 3: Cross multiply
    80,896x = 176,896 × 176,896
  4. Step 4: Simplify right side
    80,896x = 31,292,194,816
  5. Step 5: Solve for x
    x = 31,292,194,816/80,896
  6. Step 6: Final answer
    x = 386,820.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.