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Finding the Third Proportional to 98,949 and 233,349

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Solution

The third proportional to 98,949 and 233,349 is: 550,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,949 : 233,349 = 233,349 : x
  2. Step 2: Convert to fraction form
    98,949/233,349 = 233,349/x
  3. Step 3: Cross multiply
    98,949x = 233,349 × 233,349
  4. Step 4: Simplify right side
    98,949x = 54,451,755,801
  5. Step 5: Solve for x
    x = 54,451,755,801/98,949
  6. Step 6: Final answer
    x = 550,301.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.