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Finding the Third Proportional to 85,034.25 and 186,180.75

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Solution

The third proportional to 85,034.25 and 186,180.75 is: 407,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,034.25 : 186,180.75 = 186,180.75 : x
  2. Step 2: Convert to fraction form
    85,034.25/186,180.75 = 186,180.75/x
  3. Step 3: Cross multiply
    85,034.25x = 186,180.75 × 186,180.75
  4. Step 4: Simplify right side
    85,034.25x = 34,663,271,670.56
  5. Step 5: Solve for x
    x = 34,663,271,670.56/85,034.25
  6. Step 6: Final answer
    x = 407,638.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.