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Finding the Third Proportional to 158,838.50 and 246,970.75

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Solution

The third proportional to 158,838.50 and 246,970.75 is: 384,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,838.50 : 246,970.75 = 246,970.75 : x
  2. Step 2: Convert to fraction form
    158,838.50/246,970.75 = 246,970.75/x
  3. Step 3: Cross multiply
    158,838.50x = 246,970.75 × 246,970.75
  4. Step 4: Simplify right side
    158,838.50x = 60,994,551,355.56
  5. Step 5: Solve for x
    x = 60,994,551,355.56/158,838.50
  6. Step 6: Final answer
    x = 384,003.57

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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.