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Finding the Third Proportional to 86,170.50 and 182,276.50

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Solution

The third proportional to 86,170.50 and 182,276.50 is: 385,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,170.50 : 182,276.50 = 182,276.50 : x
  2. Step 2: Convert to fraction form
    86,170.50/182,276.50 = 182,276.50/x
  3. Step 3: Cross multiply
    86,170.50x = 182,276.50 × 182,276.50
  4. Step 4: Simplify right side
    86,170.50x = 33,224,722,452.25
  5. Step 5: Solve for x
    x = 33,224,722,452.25/86,170.50
  6. Step 6: Final answer
    x = 385,569.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.