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Finding the Third Proportional to 202,441 and 288,382

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Solution

The third proportional to 202,441 and 288,382 is: 410,806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,441 : 288,382 = 288,382 : x
  2. Step 2: Convert to fraction form
    202,441/288,382 = 288,382/x
  3. Step 3: Cross multiply
    202,441x = 288,382 × 288,382
  4. Step 4: Simplify right side
    202,441x = 83,164,177,924
  5. Step 5: Solve for x
    x = 83,164,177,924/202,441
  6. Step 6: Final answer
    x = 410,806.99

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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.