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Finding the Third Proportional to 175,839.93 and 411,151.73

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Solution

The third proportional to 175,839.93 and 411,151.73 is: 961,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,839.93 : 411,151.73 = 411,151.73 : x
  2. Step 2: Convert to fraction form
    175,839.93/411,151.73 = 411,151.73/x
  3. Step 3: Cross multiply
    175,839.93x = 411,151.73 × 411,151.73
  4. Step 4: Simplify right side
    175,839.93x = 169,045,743,861.38
  5. Step 5: Solve for x
    x = 169,045,743,861.38/175,839.93
  6. Step 6: Final answer
    x = 961,361.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.