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Finding the Third Proportional to 177,040 and 382,252

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Solution

The third proportional to 177,040 and 382,252 is: 825,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,040 : 382,252 = 382,252 : x
  2. Step 2: Convert to fraction form
    177,040/382,252 = 382,252/x
  3. Step 3: Cross multiply
    177,040x = 382,252 × 382,252
  4. Step 4: Simplify right side
    177,040x = 146,116,591,504
  5. Step 5: Solve for x
    x = 146,116,591,504/177,040
  6. Step 6: Final answer
    x = 825,330.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.