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Finding the Third Proportional to 177,282 and 384,102

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Solution

The third proportional to 177,282 and 384,102 is: 832,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,282 : 384,102 = 384,102 : x
  2. Step 2: Convert to fraction form
    177,282/384,102 = 384,102/x
  3. Step 3: Cross multiply
    177,282x = 384,102 × 384,102
  4. Step 4: Simplify right side
    177,282x = 147,534,346,404
  5. Step 5: Solve for x
    x = 147,534,346,404/177,282
  6. Step 6: Final answer
    x = 832,201.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.