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Finding the Third Proportional to 181,758 and 260,172

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Solution

The third proportional to 181,758 and 260,172 is: 372,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,758 : 260,172 = 260,172 : x
  2. Step 2: Convert to fraction form
    181,758/260,172 = 260,172/x
  3. Step 3: Cross multiply
    181,758x = 260,172 × 260,172
  4. Step 4: Simplify right side
    181,758x = 67,689,469,584
  5. Step 5: Solve for x
    x = 67,689,469,584/181,758
  6. Step 6: Final answer
    x = 372,415.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.