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Finding the Third Proportional to 159,822 and 350,748

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Solution

The third proportional to 159,822 and 350,748 is: 769,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,822 : 350,748 = 350,748 : x
  2. Step 2: Convert to fraction form
    159,822/350,748 = 350,748/x
  3. Step 3: Cross multiply
    159,822x = 350,748 × 350,748
  4. Step 4: Simplify right side
    159,822x = 123,024,159,504
  5. Step 5: Solve for x
    x = 123,024,159,504/159,822
  6. Step 6: Final answer
    x = 769,757.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.