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Finding the Third Proportional to 178,607.85 and 381,781.00

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Solution

The third proportional to 178,607.85 and 381,781.00 is: 816,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,607.85 : 381,781.00 = 381,781.00 : x
  2. Step 2: Convert to fraction form
    178,607.85/381,781.00 = 381,781.00/x
  3. Step 3: Cross multiply
    178,607.85x = 381,781.00 × 381,781.00
  4. Step 4: Simplify right side
    178,607.85x = 145,756,733,452.33
  5. Step 5: Solve for x
    x = 145,756,733,452.33/178,607.85
  6. Step 6: Final answer
    x = 816,071.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.