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Finding the Third Proportional to 150,897 and 226,363.50

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Solution

The third proportional to 150,897 and 226,363.50 is: 339,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,897 : 226,363.50 = 226,363.50 : x
  2. Step 2: Convert to fraction form
    150,897/226,363.50 = 226,363.50/x
  3. Step 3: Cross multiply
    150,897x = 226,363.50 × 226,363.50
  4. Step 4: Simplify right side
    150,897x = 51,240,434,132.25
  5. Step 5: Solve for x
    x = 51,240,434,132.25/150,897
  6. Step 6: Final answer
    x = 339,572.25

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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.