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Finding the Third Proportional to 177,562 and 380,396

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Solution

The third proportional to 177,562 and 380,396 is: 814,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,562 : 380,396 = 380,396 : x
  2. Step 2: Convert to fraction form
    177,562/380,396 = 380,396/x
  3. Step 3: Cross multiply
    177,562x = 380,396 × 380,396
  4. Step 4: Simplify right side
    177,562x = 144,701,116,816
  5. Step 5: Solve for x
    x = 144,701,116,816/177,562
  6. Step 6: Final answer
    x = 814,932.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.