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Finding the Third Proportional to 202,373 and 444,112

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Solution

The third proportional to 202,373 and 444,112 is: 974,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,373 : 444,112 = 444,112 : x
  2. Step 2: Convert to fraction form
    202,373/444,112 = 444,112/x
  3. Step 3: Cross multiply
    202,373x = 444,112 × 444,112
  4. Step 4: Simplify right side
    202,373x = 197,235,468,544
  5. Step 5: Solve for x
    x = 197,235,468,544/202,373
  6. Step 6: Final answer
    x = 974,613.55

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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.