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Finding the Third Proportional to 188,192 and 414,292

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Solution

The third proportional to 188,192 and 414,292 is: 912,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,192 : 414,292 = 414,292 : x
  2. Step 2: Convert to fraction form
    188,192/414,292 = 414,292/x
  3. Step 3: Cross multiply
    188,192x = 414,292 × 414,292
  4. Step 4: Simplify right side
    188,192x = 171,637,861,264
  5. Step 5: Solve for x
    x = 171,637,861,264/188,192
  6. Step 6: Final answer
    x = 912,035.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.