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Finding the Third Proportional to 104,378.50 and 232,662.50

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Solution

The third proportional to 104,378.50 and 232,662.50 is: 518,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,378.50 : 232,662.50 = 232,662.50 : x
  2. Step 2: Convert to fraction form
    104,378.50/232,662.50 = 232,662.50/x
  3. Step 3: Cross multiply
    104,378.50x = 232,662.50 × 232,662.50
  4. Step 4: Simplify right side
    104,378.50x = 54,131,838,906.25
  5. Step 5: Solve for x
    x = 54,131,838,906.25/104,378.50
  6. Step 6: Final answer
    x = 518,611.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.