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Finding the Third Proportional to 202,282 and 291,378

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Solution

The third proportional to 202,282 and 291,378 is: 419,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,282 : 291,378 = 291,378 : x
  2. Step 2: Convert to fraction form
    202,282/291,378 = 291,378/x
  3. Step 3: Cross multiply
    202,282x = 291,378 × 291,378
  4. Step 4: Simplify right side
    202,282x = 84,901,138,884
  5. Step 5: Solve for x
    x = 84,901,138,884/202,282
  6. Step 6: Final answer
    x = 419,716.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.