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Finding the Third Proportional to 80,615.75 and 187,384.50

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Solution

The third proportional to 80,615.75 and 187,384.50 is: 435,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,615.75 : 187,384.50 = 187,384.50 : x
  2. Step 2: Convert to fraction form
    80,615.75/187,384.50 = 187,384.50/x
  3. Step 3: Cross multiply
    80,615.75x = 187,384.50 × 187,384.50
  4. Step 4: Simplify right side
    80,615.75x = 35,112,950,840.25
  5. Step 5: Solve for x
    x = 35,112,950,840.25/80,615.75
  6. Step 6: Final answer
    x = 435,559.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.