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Finding the Third Proportional to 247,251 and 353,236.50

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Solution

The third proportional to 247,251 and 353,236.50 is: 504,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,251 : 353,236.50 = 353,236.50 : x
  2. Step 2: Convert to fraction form
    247,251/353,236.50 = 353,236.50/x
  3. Step 3: Cross multiply
    247,251x = 353,236.50 × 353,236.50
  4. Step 4: Simplify right side
    247,251x = 124,776,024,932.25
  5. Step 5: Solve for x
    x = 124,776,024,932.25/247,251
  6. Step 6: Final answer
    x = 504,653.27

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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.