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Finding the Third Proportional to 86,809.50 and 180,531

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Solution

The third proportional to 86,809.50 and 180,531 is: 375,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,809.50 : 180,531 = 180,531 : x
  2. Step 2: Convert to fraction form
    86,809.50/180,531 = 180,531/x
  3. Step 3: Cross multiply
    86,809.50x = 180,531 × 180,531
  4. Step 4: Simplify right side
    86,809.50x = 32,591,441,961
  5. Step 5: Solve for x
    x = 32,591,441,961/86,809.50
  6. Step 6: Final answer
    x = 375,436.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.