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Finding the Third Proportional to 150,192 and 218,232

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Solution

The third proportional to 150,192 and 218,232 is: 317,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,192 : 218,232 = 218,232 : x
  2. Step 2: Convert to fraction form
    150,192/218,232 = 218,232/x
  3. Step 3: Cross multiply
    150,192x = 218,232 × 218,232
  4. Step 4: Simplify right side
    150,192x = 47,625,205,824
  5. Step 5: Solve for x
    x = 47,625,205,824/150,192
  6. Step 6: Final answer
    x = 317,095.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.