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Finding the Third Proportional to 187,618.50 and 283,041

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Solution

The third proportional to 187,618.50 and 283,041 is: 426,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,618.50 : 283,041 = 283,041 : x
  2. Step 2: Convert to fraction form
    187,618.50/283,041 = 283,041/x
  3. Step 3: Cross multiply
    187,618.50x = 283,041 × 283,041
  4. Step 4: Simplify right side
    187,618.50x = 80,112,207,681
  5. Step 5: Solve for x
    x = 80,112,207,681/187,618.50
  6. Step 6: Final answer
    x = 426,995.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.