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Finding the Third Proportional to 131,523.75 and 283,570.88

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Solution

The third proportional to 131,523.75 and 283,570.88 is: 611,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,523.75 : 283,570.88 = 283,570.88 : x
  2. Step 2: Convert to fraction form
    131,523.75/283,570.88 = 283,570.88/x
  3. Step 3: Cross multiply
    131,523.75x = 283,570.88 × 283,570.88
  4. Step 4: Simplify right side
    131,523.75x = 80,412,441,148.27
  5. Step 5: Solve for x
    x = 80,412,441,148.27/131,523.75
  6. Step 6: Final answer
    x = 611,391.03

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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.