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Finding the Third Proportional to 178,092 and 387,288

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Solution

The third proportional to 178,092 and 387,288 is: 842,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,092 : 387,288 = 387,288 : x
  2. Step 2: Convert to fraction form
    178,092/387,288 = 387,288/x
  3. Step 3: Cross multiply
    178,092x = 387,288 × 387,288
  4. Step 4: Simplify right side
    178,092x = 149,991,994,944
  5. Step 5: Solve for x
    x = 149,991,994,944/178,092
  6. Step 6: Final answer
    x = 842,216.35

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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.