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Finding the Third Proportional to 182,199 and 399,498

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Solution

The third proportional to 182,199 and 399,498 is: 875,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,199 : 399,498 = 399,498 : x
  2. Step 2: Convert to fraction form
    182,199/399,498 = 399,498/x
  3. Step 3: Cross multiply
    182,199x = 399,498 × 399,498
  4. Step 4: Simplify right side
    182,199x = 159,598,652,004
  5. Step 5: Solve for x
    x = 159,598,652,004/182,199
  6. Step 6: Final answer
    x = 875,957.89

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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.