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Finding the Third Proportional to 86,694.75 and 187,348.50

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Solution

The third proportional to 86,694.75 and 187,348.50 is: 404,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,694.75 : 187,348.50 = 187,348.50 : x
  2. Step 2: Convert to fraction form
    86,694.75/187,348.50 = 187,348.50/x
  3. Step 3: Cross multiply
    86,694.75x = 187,348.50 × 187,348.50
  4. Step 4: Simplify right side
    86,694.75x = 35,099,460,452.25
  5. Step 5: Solve for x
    x = 35,099,460,452.25/86,694.75
  6. Step 6: Final answer
    x = 404,862.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.