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Finding the Third Proportional to 81,733 and 176,368

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Solution

The third proportional to 81,733 and 176,368 is: 380,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,733 : 176,368 = 176,368 : x
  2. Step 2: Convert to fraction form
    81,733/176,368 = 176,368/x
  3. Step 3: Cross multiply
    81,733x = 176,368 × 176,368
  4. Step 4: Simplify right side
    81,733x = 31,105,671,424
  5. Step 5: Solve for x
    x = 31,105,671,424/81,733
  6. Step 6: Final answer
    x = 380,576.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.