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Finding the Third Proportional to 181,689 and 260,073

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Solution

The third proportional to 181,689 and 260,073 is: 372,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,689 : 260,073 = 260,073 : x
  2. Step 2: Convert to fraction form
    181,689/260,073 = 260,073/x
  3. Step 3: Cross multiply
    181,689x = 260,073 × 260,073
  4. Step 4: Simplify right side
    181,689x = 67,637,965,329
  5. Step 5: Solve for x
    x = 67,637,965,329/181,689
  6. Step 6: Final answer
    x = 372,273.31

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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.