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Finding the Third Proportional to 159,534.75 and 246,994.50

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Solution

The third proportional to 159,534.75 and 246,994.50 is: 382,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,534.75 : 246,994.50 = 246,994.50 : x
  2. Step 2: Convert to fraction form
    159,534.75/246,994.50 = 246,994.50/x
  3. Step 3: Cross multiply
    159,534.75x = 246,994.50 × 246,994.50
  4. Step 4: Simplify right side
    159,534.75x = 61,006,283,030.25
  5. Step 5: Solve for x
    x = 61,006,283,030.25/159,534.75
  6. Step 6: Final answer
    x = 382,401.22

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Why These Related Problems?

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