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Finding the Third Proportional to 98,626 and 160,234

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Solution

The third proportional to 98,626 and 160,234 is: 260,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,626 : 160,234 = 160,234 : x
  2. Step 2: Convert to fraction form
    98,626/160,234 = 160,234/x
  3. Step 3: Cross multiply
    98,626x = 160,234 × 160,234
  4. Step 4: Simplify right side
    98,626x = 25,674,934,756
  5. Step 5: Solve for x
    x = 25,674,934,756/98,626
  6. Step 6: Final answer
    x = 260,326.23

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.