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Finding the Third Proportional to 85,028.25 and 185,366.25

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Solution

The third proportional to 85,028.25 and 185,366.25 is: 404,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,028.25 : 185,366.25 = 185,366.25 : x
  2. Step 2: Convert to fraction form
    85,028.25/185,366.25 = 185,366.25/x
  3. Step 3: Cross multiply
    85,028.25x = 185,366.25 × 185,366.25
  4. Step 4: Simplify right side
    85,028.25x = 34,360,646,639.06
  5. Step 5: Solve for x
    x = 34,360,646,639.06/85,028.25
  6. Step 6: Final answer
    x = 404,108.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.