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Finding the Third Proportional to 182,548 and 399,451

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Solution

The third proportional to 182,548 and 399,451 is: 874,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,548 : 399,451 = 399,451 : x
  2. Step 2: Convert to fraction form
    182,548/399,451 = 399,451/x
  3. Step 3: Cross multiply
    182,548x = 399,451 × 399,451
  4. Step 4: Simplify right side
    182,548x = 159,561,101,401
  5. Step 5: Solve for x
    x = 159,561,101,401/182,548
  6. Step 6: Final answer
    x = 874,077.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.