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Finding the Third Proportional to 232,650 and 350,919

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Solution

The third proportional to 232,650 and 350,919 is: 529,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,650 : 350,919 = 350,919 : x
  2. Step 2: Convert to fraction form
    232,650/350,919 = 350,919/x
  3. Step 3: Cross multiply
    232,650x = 350,919 × 350,919
  4. Step 4: Simplify right side
    232,650x = 123,144,144,561
  5. Step 5: Solve for x
    x = 123,144,144,561/232,650
  6. Step 6: Final answer
    x = 529,310.74

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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.