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Finding the Third Proportional to 225,998 and 350,151

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Solution

The third proportional to 225,998 and 350,151 is: 542,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,998 : 350,151 = 350,151 : x
  2. Step 2: Convert to fraction form
    225,998/350,151 = 350,151/x
  3. Step 3: Cross multiply
    225,998x = 350,151 × 350,151
  4. Step 4: Simplify right side
    225,998x = 122,605,722,801
  5. Step 5: Solve for x
    x = 122,605,722,801/225,998
  6. Step 6: Final answer
    x = 542,508.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.