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Finding the Third Proportional to 176,866 and 381,969

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Solution

The third proportional to 176,866 and 381,969 is: 824,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,866 : 381,969 = 381,969 : x
  2. Step 2: Convert to fraction form
    176,866/381,969 = 381,969/x
  3. Step 3: Cross multiply
    176,866x = 381,969 × 381,969
  4. Step 4: Simplify right side
    176,866x = 145,900,316,961
  5. Step 5: Solve for x
    x = 145,900,316,961/176,866
  6. Step 6: Final answer
    x = 824,920.09

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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.