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Finding the Third Proportional to 150,769 and 233,239

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Solution

The third proportional to 150,769 and 233,239 is: 360,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,769 : 233,239 = 233,239 : x
  2. Step 2: Convert to fraction form
    150,769/233,239 = 233,239/x
  3. Step 3: Cross multiply
    150,769x = 233,239 × 233,239
  4. Step 4: Simplify right side
    150,769x = 54,400,431,121
  5. Step 5: Solve for x
    x = 54,400,431,121/150,769
  6. Step 6: Final answer
    x = 360,819.74

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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.