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Finding the Third Proportional to 172,449 and 269,150.63

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Solution

The third proportional to 172,449 and 269,150.63 is: 420,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,449 : 269,150.63 = 269,150.63 : x
  2. Step 2: Convert to fraction form
    172,449/269,150.63 = 269,150.63/x
  3. Step 3: Cross multiply
    172,449x = 269,150.63 × 269,150.63
  4. Step 4: Simplify right side
    172,449x = 72,442,058,937.89
  5. Step 5: Solve for x
    x = 72,442,058,937.89/172,449
  6. Step 6: Final answer
    x = 420,078.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.