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Finding the Third Proportional to 202,322 and 291,451

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Solution

The third proportional to 202,322 and 291,451 is: 419,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,322 : 291,451 = 291,451 : x
  2. Step 2: Convert to fraction form
    202,322/291,451 = 291,451/x
  3. Step 3: Cross multiply
    202,322x = 291,451 × 291,451
  4. Step 4: Simplify right side
    202,322x = 84,943,685,401
  5. Step 5: Solve for x
    x = 84,943,685,401/202,322
  6. Step 6: Final answer
    x = 419,844.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.