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Finding the Third Proportional to 173,732 and 259,079

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Solution

The third proportional to 173,732 and 259,079 is: 386,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,732 : 259,079 = 259,079 : x
  2. Step 2: Convert to fraction form
    173,732/259,079 = 259,079/x
  3. Step 3: Cross multiply
    173,732x = 259,079 × 259,079
  4. Step 4: Simplify right side
    173,732x = 67,121,928,241
  5. Step 5: Solve for x
    x = 67,121,928,241/173,732
  6. Step 6: Final answer
    x = 386,353.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.