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Finding the Third Proportional to 173,944.50 and 248,077.50

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Solution

The third proportional to 173,944.50 and 248,077.50 is: 353,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,944.50 : 248,077.50 = 248,077.50 : x
  2. Step 2: Convert to fraction form
    173,944.50/248,077.50 = 248,077.50/x
  3. Step 3: Cross multiply
    173,944.50x = 248,077.50 × 248,077.50
  4. Step 4: Simplify right side
    173,944.50x = 61,542,446,006.25
  5. Step 5: Solve for x
    x = 61,542,446,006.25/173,944.50
  6. Step 6: Final answer
    x = 353,805.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.