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Finding the Third Proportional to 150,738 and 233,299

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Solution

The third proportional to 150,738 and 233,299 is: 361,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,738 : 233,299 = 233,299 : x
  2. Step 2: Convert to fraction form
    150,738/233,299 = 233,299/x
  3. Step 3: Cross multiply
    150,738x = 233,299 × 233,299
  4. Step 4: Simplify right side
    150,738x = 54,428,423,401
  5. Step 5: Solve for x
    x = 54,428,423,401/150,738
  6. Step 6: Final answer
    x = 361,079.64

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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.