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Finding the Third Proportional to 172,573 and 372,901

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Solution

The third proportional to 172,573 and 372,901 is: 805,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,573 : 372,901 = 372,901 : x
  2. Step 2: Convert to fraction form
    172,573/372,901 = 372,901/x
  3. Step 3: Cross multiply
    172,573x = 372,901 × 372,901
  4. Step 4: Simplify right side
    172,573x = 139,055,155,801
  5. Step 5: Solve for x
    x = 139,055,155,801/172,573
  6. Step 6: Final answer
    x = 805,775.85

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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.