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Finding the Third Proportional to 98,154 and 209,372

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Solution

The third proportional to 98,154 and 209,372 is: 446,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,154 : 209,372 = 209,372 : x
  2. Step 2: Convert to fraction form
    98,154/209,372 = 209,372/x
  3. Step 3: Cross multiply
    98,154x = 209,372 × 209,372
  4. Step 4: Simplify right side
    98,154x = 43,836,634,384
  5. Step 5: Solve for x
    x = 43,836,634,384/98,154
  6. Step 6: Final answer
    x = 446,610.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.