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Finding the Third Proportional to 176,438.25 and 381,996

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Solution

The third proportional to 176,438.25 and 381,996 is: 827,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,438.25 : 381,996 = 381,996 : x
  2. Step 2: Convert to fraction form
    176,438.25/381,996 = 381,996/x
  3. Step 3: Cross multiply
    176,438.25x = 381,996 × 381,996
  4. Step 4: Simplify right side
    176,438.25x = 145,920,944,016
  5. Step 5: Solve for x
    x = 145,920,944,016/176,438.25
  6. Step 6: Final answer
    x = 827,036.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.