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Finding the Third Proportional to 98,624 and 160,231

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Solution

The third proportional to 98,624 and 160,231 is: 260,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,624 : 160,231 = 160,231 : x
  2. Step 2: Convert to fraction form
    98,624/160,231 = 160,231/x
  3. Step 3: Cross multiply
    98,624x = 160,231 × 160,231
  4. Step 4: Simplify right side
    98,624x = 25,673,973,361
  5. Step 5: Solve for x
    x = 25,673,973,361/98,624
  6. Step 6: Final answer
    x = 260,321.76

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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.