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Finding the Third Proportional to 159,807 and 350,718

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Solution

The third proportional to 159,807 and 350,718 is: 769,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,807 : 350,718 = 350,718 : x
  2. Step 2: Convert to fraction form
    159,807/350,718 = 350,718/x
  3. Step 3: Cross multiply
    159,807x = 350,718 × 350,718
  4. Step 4: Simplify right side
    159,807x = 123,003,115,524
  5. Step 5: Solve for x
    x = 123,003,115,524/159,807
  6. Step 6: Final answer
    x = 769,697.92

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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.