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Finding the Third Proportional to 187,642.50 and 403,782

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Solution

The third proportional to 187,642.50 and 403,782 is: 868,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,642.50 : 403,782 = 403,782 : x
  2. Step 2: Convert to fraction form
    187,642.50/403,782 = 403,782/x
  3. Step 3: Cross multiply
    187,642.50x = 403,782 × 403,782
  4. Step 4: Simplify right side
    187,642.50x = 163,039,903,524
  5. Step 5: Solve for x
    x = 163,039,903,524/187,642.50
  6. Step 6: Final answer
    x = 868,885.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.