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Finding the Third Proportional to 150,268 and 232,556

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Solution

The third proportional to 150,268 and 232,556 is: 359,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,268 : 232,556 = 232,556 : x
  2. Step 2: Convert to fraction form
    150,268/232,556 = 232,556/x
  3. Step 3: Cross multiply
    150,268x = 232,556 × 232,556
  4. Step 4: Simplify right side
    150,268x = 54,082,293,136
  5. Step 5: Solve for x
    x = 54,082,293,136/150,268
  6. Step 6: Final answer
    x = 359,905.59

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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.