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Finding the Third Proportional to 150,894.50 and 226,360

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Solution

The third proportional to 150,894.50 and 226,360 is: 339,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,894.50 : 226,360 = 226,360 : x
  2. Step 2: Convert to fraction form
    150,894.50/226,360 = 226,360/x
  3. Step 3: Cross multiply
    150,894.50x = 226,360 × 226,360
  4. Step 4: Simplify right side
    150,894.50x = 51,238,849,600
  5. Step 5: Solve for x
    x = 51,238,849,600/150,894.50
  6. Step 6: Final answer
    x = 339,567.38

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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.