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Finding the Third Proportional to 172,514 and 371,272

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Solution

The third proportional to 172,514 and 371,272 is: 799,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,514 : 371,272 = 371,272 : x
  2. Step 2: Convert to fraction form
    172,514/371,272 = 371,272/x
  3. Step 3: Cross multiply
    172,514x = 371,272 × 371,272
  4. Step 4: Simplify right side
    172,514x = 137,842,897,984
  5. Step 5: Solve for x
    x = 137,842,897,984/172,514
  6. Step 6: Final answer
    x = 799,024.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.