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Finding the Third Proportional to 202,351 and 421,298

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Solution

The third proportional to 202,351 and 421,298 is: 877,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,351 : 421,298 = 421,298 : x
  2. Step 2: Convert to fraction form
    202,351/421,298 = 421,298/x
  3. Step 3: Cross multiply
    202,351x = 421,298 × 421,298
  4. Step 4: Simplify right side
    202,351x = 177,492,004,804
  5. Step 5: Solve for x
    x = 177,492,004,804/202,351
  6. Step 6: Final answer
    x = 877,149.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.