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Finding the Third Proportional to 177,354 and 260,846

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Solution

The third proportional to 177,354 and 260,846 is: 383,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,354 : 260,846 = 260,846 : x
  2. Step 2: Convert to fraction form
    177,354/260,846 = 260,846/x
  3. Step 3: Cross multiply
    177,354x = 260,846 × 260,846
  4. Step 4: Simplify right side
    177,354x = 68,040,635,716
  5. Step 5: Solve for x
    x = 68,040,635,716/177,354
  6. Step 6: Final answer
    x = 383,643.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.