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Finding the Third Proportional to 202,972 and 288,496

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Solution

The third proportional to 202,972 and 288,496 is: 410,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,972 : 288,496 = 288,496 : x
  2. Step 2: Convert to fraction form
    202,972/288,496 = 288,496/x
  3. Step 3: Cross multiply
    202,972x = 288,496 × 288,496
  4. Step 4: Simplify right side
    202,972x = 83,229,942,016
  5. Step 5: Solve for x
    x = 83,229,942,016/202,972
  6. Step 6: Final answer
    x = 410,056.27

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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.