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Finding the Third Proportional to 101,302 and 220,442

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Solution

The third proportional to 101,302 and 220,442 is: 479,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,302 : 220,442 = 220,442 : x
  2. Step 2: Convert to fraction form
    101,302/220,442 = 220,442/x
  3. Step 3: Cross multiply
    101,302x = 220,442 × 220,442
  4. Step 4: Simplify right side
    101,302x = 48,594,675,364
  5. Step 5: Solve for x
    x = 48,594,675,364/101,302
  6. Step 6: Final answer
    x = 479,701.05

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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.