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Finding the Third Proportional to 172,351.50 and 372,373.50

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Solution

The third proportional to 172,351.50 and 372,373.50 is: 804,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,351.50 : 372,373.50 = 372,373.50 : x
  2. Step 2: Convert to fraction form
    172,351.50/372,373.50 = 372,373.50/x
  3. Step 3: Cross multiply
    172,351.50x = 372,373.50 × 372,373.50
  4. Step 4: Simplify right side
    172,351.50x = 138,662,023,502.25
  5. Step 5: Solve for x
    x = 138,662,023,502.25/172,351.50
  6. Step 6: Final answer
    x = 804,530.41

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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.