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Finding the Third Proportional to 226,098 and 349,933.50

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Solution

The third proportional to 226,098 and 349,933.50 is: 541,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,098 : 349,933.50 = 349,933.50 : x
  2. Step 2: Convert to fraction form
    226,098/349,933.50 = 349,933.50/x
  3. Step 3: Cross multiply
    226,098x = 349,933.50 × 349,933.50
  4. Step 4: Simplify right side
    226,098x = 122,453,454,422.25
  5. Step 5: Solve for x
    x = 122,453,454,422.25/226,098
  6. Step 6: Final answer
    x = 541,594.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.