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Finding the Third Proportional to 202,484 and 409,251

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Solution

The third proportional to 202,484 and 409,251 is: 827,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,484 : 409,251 = 409,251 : x
  2. Step 2: Convert to fraction form
    202,484/409,251 = 409,251/x
  3. Step 3: Cross multiply
    202,484x = 409,251 × 409,251
  4. Step 4: Simplify right side
    202,484x = 167,486,381,001
  5. Step 5: Solve for x
    x = 167,486,381,001/202,484
  6. Step 6: Final answer
    x = 827,158.60

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.