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Finding the Third Proportional to 212,042.50 and 464,189

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Solution

The third proportional to 212,042.50 and 464,189 is: 1,016,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,042.50 : 464,189 = 464,189 : x
  2. Step 2: Convert to fraction form
    212,042.50/464,189 = 464,189/x
  3. Step 3: Cross multiply
    212,042.50x = 464,189 × 464,189
  4. Step 4: Simplify right side
    212,042.50x = 215,471,427,721
  5. Step 5: Solve for x
    x = 215,471,427,721/212,042.50
  6. Step 6: Final answer
    x = 1,016,170.95

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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.