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Finding the Third Proportional to 172,327.50 and 248,204.25

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Solution

The third proportional to 172,327.50 and 248,204.25 is: 357,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,327.50 : 248,204.25 = 248,204.25 : x
  2. Step 2: Convert to fraction form
    172,327.50/248,204.25 = 248,204.25/x
  3. Step 3: Cross multiply
    172,327.50x = 248,204.25 × 248,204.25
  4. Step 4: Simplify right side
    172,327.50x = 61,605,349,718.06
  5. Step 5: Solve for x
    x = 61,605,349,718.06/172,327.50
  6. Step 6: Final answer
    x = 357,489.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.