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Finding the Third Proportional to 116,382 and 176,733

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Solution

The third proportional to 116,382 and 176,733 is: 268,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,382 : 176,733 = 176,733 : x
  2. Step 2: Convert to fraction form
    116,382/176,733 = 176,733/x
  3. Step 3: Cross multiply
    116,382x = 176,733 × 176,733
  4. Step 4: Simplify right side
    116,382x = 31,234,553,289
  5. Step 5: Solve for x
    x = 31,234,553,289/116,382
  6. Step 6: Final answer
    x = 268,379.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.