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Finding the Third Proportional to 78,975.50 and 186,433.50

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Solution

The third proportional to 78,975.50 and 186,433.50 is: 440,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,975.50 : 186,433.50 = 186,433.50 : x
  2. Step 2: Convert to fraction form
    78,975.50/186,433.50 = 186,433.50/x
  3. Step 3: Cross multiply
    78,975.50x = 186,433.50 × 186,433.50
  4. Step 4: Simplify right side
    78,975.50x = 34,757,449,922.25
  5. Step 5: Solve for x
    x = 34,757,449,922.25/78,975.50
  6. Step 6: Final answer
    x = 440,104.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.