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Finding the Third Proportional to 159,534.56 and 246,994.31

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Solution

The third proportional to 159,534.56 and 246,994.31 is: 382,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,534.56 : 246,994.31 = 246,994.31 : x
  2. Step 2: Convert to fraction form
    159,534.56/246,994.31 = 246,994.31/x
  3. Step 3: Cross multiply
    159,534.56x = 246,994.31 × 246,994.31
  4. Step 4: Simplify right side
    159,534.56x = 61,006,190,407.35
  5. Step 5: Solve for x
    x = 61,006,190,407.35/159,534.56
  6. Step 6: Final answer
    x = 382,401.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.