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Finding the Third Proportional to 98,625 and 160,233

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Solution

The third proportional to 98,625 and 160,233 is: 260,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,625 : 160,233 = 160,233 : x
  2. Step 2: Convert to fraction form
    98,625/160,233 = 160,233/x
  3. Step 3: Cross multiply
    98,625x = 160,233 × 160,233
  4. Step 4: Simplify right side
    98,625x = 25,674,614,289
  5. Step 5: Solve for x
    x = 25,674,614,289/98,625
  6. Step 6: Final answer
    x = 260,325.62

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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.