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Finding the Third Proportional to 182,211 and 399,522

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Solution

The third proportional to 182,211 and 399,522 is: 876,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,211 : 399,522 = 399,522 : x
  2. Step 2: Convert to fraction form
    182,211/399,522 = 399,522/x
  3. Step 3: Cross multiply
    182,211x = 399,522 × 399,522
  4. Step 4: Simplify right side
    182,211x = 159,617,828,484
  5. Step 5: Solve for x
    x = 159,617,828,484/182,211
  6. Step 6: Final answer
    x = 876,005.45

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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.