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Finding the Third Proportional to 202,446 and 288,390

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Solution

The third proportional to 202,446 and 288,390 is: 410,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446 : 288,390 = 288,390 : x
  2. Step 2: Convert to fraction form
    202,446/288,390 = 288,390/x
  3. Step 3: Cross multiply
    202,446x = 288,390 × 288,390
  4. Step 4: Simplify right side
    202,446x = 83,168,792,100
  5. Step 5: Solve for x
    x = 83,168,792,100/202,446
  6. Step 6: Final answer
    x = 410,819.64

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