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Finding the Third Proportional to 159,414 and 350,796

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Solution

The third proportional to 159,414 and 350,796 is: 771,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,414 : 350,796 = 350,796 : x
  2. Step 2: Convert to fraction form
    159,414/350,796 = 350,796/x
  3. Step 3: Cross multiply
    159,414x = 350,796 × 350,796
  4. Step 4: Simplify right side
    159,414x = 123,057,833,616
  5. Step 5: Solve for x
    x = 123,057,833,616/159,414
  6. Step 6: Final answer
    x = 771,938.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.