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Finding the Third Proportional to 226,033.50 and 350,215.50

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Solution

The third proportional to 226,033.50 and 350,215.50 is: 542,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,033.50 : 350,215.50 = 350,215.50 : x
  2. Step 2: Convert to fraction form
    226,033.50/350,215.50 = 350,215.50/x
  3. Step 3: Cross multiply
    226,033.50x = 350,215.50 × 350,215.50
  4. Step 4: Simplify right side
    226,033.50x = 122,650,896,440.25
  5. Step 5: Solve for x
    x = 122,650,896,440.25/226,033.50
  6. Step 6: Final answer
    x = 542,622.65

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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.