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Finding the Third Proportional to 172,101 and 370,568

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Solution

The third proportional to 172,101 and 370,568 is: 797,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,101 : 370,568 = 370,568 : x
  2. Step 2: Convert to fraction form
    172,101/370,568 = 370,568/x
  3. Step 3: Cross multiply
    172,101x = 370,568 × 370,568
  4. Step 4: Simplify right side
    172,101x = 137,320,642,624
  5. Step 5: Solve for x
    x = 137,320,642,624/172,101
  6. Step 6: Final answer
    x = 797,907.29

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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.