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Finding the Third Proportional to 239,523.75 and 523,131.75

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Solution

The third proportional to 239,523.75 and 523,131.75 is: 1,142,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,523.75 : 523,131.75 = 523,131.75 : x
  2. Step 2: Convert to fraction form
    239,523.75/523,131.75 = 523,131.75/x
  3. Step 3: Cross multiply
    239,523.75x = 523,131.75 × 523,131.75
  4. Step 4: Simplify right side
    239,523.75x = 273,666,827,858.06
  5. Step 5: Solve for x
    x = 273,666,827,858.06/239,523.75
  6. Step 6: Final answer
    x = 1,142,545.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.