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Finding the Third Proportional to 233,226 and 349,764.75

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Solution

The third proportional to 233,226 and 349,764.75 is: 524,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,226 : 349,764.75 = 349,764.75 : x
  2. Step 2: Convert to fraction form
    233,226/349,764.75 = 349,764.75/x
  3. Step 3: Cross multiply
    233,226x = 349,764.75 × 349,764.75
  4. Step 4: Simplify right side
    233,226x = 122,335,380,342.56
  5. Step 5: Solve for x
    x = 122,335,380,342.56/233,226
  6. Step 6: Final answer
    x = 524,535.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.