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Finding the Third Proportional to 177,028 and 382,228

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Solution

The third proportional to 177,028 and 382,228 is: 825,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,028 : 382,228 = 382,228 : x
  2. Step 2: Convert to fraction form
    177,028/382,228 = 382,228/x
  3. Step 3: Cross multiply
    177,028x = 382,228 × 382,228
  4. Step 4: Simplify right side
    177,028x = 146,098,243,984
  5. Step 5: Solve for x
    x = 146,098,243,984/177,028
  6. Step 6: Final answer
    x = 825,283.25

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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.