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Finding the Third Proportional to 172,322 and 372,324

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Solution

The third proportional to 172,322 and 372,324 is: 804,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,322 : 372,324 = 372,324 : x
  2. Step 2: Convert to fraction form
    172,322/372,324 = 372,324/x
  3. Step 3: Cross multiply
    172,322x = 372,324 × 372,324
  4. Step 4: Simplify right side
    172,322x = 138,625,160,976
  5. Step 5: Solve for x
    x = 138,625,160,976/172,322
  6. Step 6: Final answer
    x = 804,454.23

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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.