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Finding the Third Proportional to 83,768 and 176,848

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Solution

The third proportional to 83,768 and 176,848 is: 373,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768 : 176,848 = 176,848 : x
  2. Step 2: Convert to fraction form
    83,768/176,848 = 176,848/x
  3. Step 3: Cross multiply
    83,768x = 176,848 × 176,848
  4. Step 4: Simplify right side
    83,768x = 31,275,215,104
  5. Step 5: Solve for x
    x = 31,275,215,104/83,768
  6. Step 6: Final answer
    x = 373,355.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.