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Finding the Third Proportional to 173,733 and 261,017

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Solution

The third proportional to 173,733 and 261,017 is: 392,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,733 : 261,017 = 261,017 : x
  2. Step 2: Convert to fraction form
    173,733/261,017 = 261,017/x
  3. Step 3: Cross multiply
    173,733x = 261,017 × 261,017
  4. Step 4: Simplify right side
    173,733x = 68,129,874,289
  5. Step 5: Solve for x
    x = 68,129,874,289/173,733
  6. Step 6: Final answer
    x = 392,152.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.