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Finding the Third Proportional to 172,434 and 372,052

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Solution

The third proportional to 172,434 and 372,052 is: 802,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,434 : 372,052 = 372,052 : x
  2. Step 2: Convert to fraction form
    172,434/372,052 = 372,052/x
  3. Step 3: Cross multiply
    172,434x = 372,052 × 372,052
  4. Step 4: Simplify right side
    172,434x = 138,422,690,704
  5. Step 5: Solve for x
    x = 138,422,690,704/172,434
  6. Step 6: Final answer
    x = 802,757.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.