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Finding the Third Proportional to 172,357 and 370,967

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Solution

The third proportional to 172,357 and 370,967 is: 798,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,357 : 370,967 = 370,967 : x
  2. Step 2: Convert to fraction form
    172,357/370,967 = 370,967/x
  3. Step 3: Cross multiply
    172,357x = 370,967 × 370,967
  4. Step 4: Simplify right side
    172,357x = 137,616,515,089
  5. Step 5: Solve for x
    x = 137,616,515,089/172,357
  6. Step 6: Final answer
    x = 798,438.79

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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.