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Finding the Third Proportional to 212,013 and 297,132.75

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Solution

The third proportional to 212,013 and 297,132.75 is: 416,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,013 : 297,132.75 = 297,132.75 : x
  2. Step 2: Convert to fraction form
    212,013/297,132.75 = 297,132.75/x
  3. Step 3: Cross multiply
    212,013x = 297,132.75 × 297,132.75
  4. Step 4: Simplify right side
    212,013x = 88,287,871,122.56
  5. Step 5: Solve for x
    x = 88,287,871,122.56/212,013
  6. Step 6: Final answer
    x = 416,426.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.