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Finding the Third Proportional to 172,849 and 369,675

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Solution

The third proportional to 172,849 and 369,675 is: 790,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,849 : 369,675 = 369,675 : x
  2. Step 2: Convert to fraction form
    172,849/369,675 = 369,675/x
  3. Step 3: Cross multiply
    172,849x = 369,675 × 369,675
  4. Step 4: Simplify right side
    172,849x = 136,659,605,625
  5. Step 5: Solve for x
    x = 136,659,605,625/172,849
  6. Step 6: Final answer
    x = 790,630.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.