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Finding the Third Proportional to 232,632 and 350,892

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Solution

The third proportional to 232,632 and 350,892 is: 529,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,632 : 350,892 = 350,892 : x
  2. Step 2: Convert to fraction form
    232,632/350,892 = 350,892/x
  3. Step 3: Cross multiply
    232,632x = 350,892 × 350,892
  4. Step 4: Simplify right side
    232,632x = 123,125,195,664
  5. Step 5: Solve for x
    x = 123,125,195,664/232,632
  6. Step 6: Final answer
    x = 529,270.25

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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.