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Finding the Third Proportional to 150,543 and 233,023

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Solution

The third proportional to 150,543 and 233,023 is: 360,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,543 : 233,023 = 233,023 : x
  2. Step 2: Convert to fraction form
    150,543/233,023 = 233,023/x
  3. Step 3: Cross multiply
    150,543x = 233,023 × 233,023
  4. Step 4: Simplify right side
    150,543x = 54,299,718,529
  5. Step 5: Solve for x
    x = 54,299,718,529/150,543
  6. Step 6: Final answer
    x = 360,692.42

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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.