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Finding the Third Proportional to 233,910 and 352,181

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Solution

The third proportional to 233,910 and 352,181 is: 530,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,910 : 352,181 = 352,181 : x
  2. Step 2: Convert to fraction form
    233,910/352,181 = 352,181/x
  3. Step 3: Cross multiply
    233,910x = 352,181 × 352,181
  4. Step 4: Simplify right side
    233,910x = 124,031,456,761
  5. Step 5: Solve for x
    x = 124,031,456,761/233,910
  6. Step 6: Final answer
    x = 530,252.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.