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Finding the Third Proportional to 172,884 and 253,098

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Solution

The third proportional to 172,884 and 253,098 is: 370,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,884 : 253,098 = 253,098 : x
  2. Step 2: Convert to fraction form
    172,884/253,098 = 253,098/x
  3. Step 3: Cross multiply
    172,884x = 253,098 × 253,098
  4. Step 4: Simplify right side
    172,884x = 64,058,597,604
  5. Step 5: Solve for x
    x = 64,058,597,604/172,884
  6. Step 6: Final answer
    x = 370,529.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.