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Finding the Third Proportional to 172,044 and 261,711

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Solution

The third proportional to 172,044 and 261,711 is: 398,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,044 : 261,711 = 261,711 : x
  2. Step 2: Convert to fraction form
    172,044/261,711 = 261,711/x
  3. Step 3: Cross multiply
    172,044x = 261,711 × 261,711
  4. Step 4: Simplify right side
    172,044x = 68,492,647,521
  5. Step 5: Solve for x
    x = 68,492,647,521/172,044
  6. Step 6: Final answer
    x = 398,111.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.