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Finding the Third Proportional to 202,970 and 288,493

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Solution

The third proportional to 202,970 and 288,493 is: 410,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,970 : 288,493 = 288,493 : x
  2. Step 2: Convert to fraction form
    202,970/288,493 = 288,493/x
  3. Step 3: Cross multiply
    202,970x = 288,493 × 288,493
  4. Step 4: Simplify right side
    202,970x = 83,228,211,049
  5. Step 5: Solve for x
    x = 83,228,211,049/202,970
  6. Step 6: Final answer
    x = 410,051.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.