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Finding the Third Proportional to 98,647 and 160,269

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Solution

The third proportional to 98,647 and 160,269 is: 260,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,647 : 160,269 = 160,269 : x
  2. Step 2: Convert to fraction form
    98,647/160,269 = 160,269/x
  3. Step 3: Cross multiply
    98,647x = 160,269 × 160,269
  4. Step 4: Simplify right side
    98,647x = 25,686,152,361
  5. Step 5: Solve for x
    x = 25,686,152,361/98,647
  6. Step 6: Final answer
    x = 260,384.53

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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.