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Finding the Third Proportional to 78,950.25 and 175,396.50

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Solution

The third proportional to 78,950.25 and 175,396.50 is: 389,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,950.25 : 175,396.50 = 175,396.50 : x
  2. Step 2: Convert to fraction form
    78,950.25/175,396.50 = 175,396.50/x
  3. Step 3: Cross multiply
    78,950.25x = 175,396.50 × 175,396.50
  4. Step 4: Simplify right side
    78,950.25x = 30,763,932,212.25
  5. Step 5: Solve for x
    x = 30,763,932,212.25/78,950.25
  6. Step 6: Final answer
    x = 389,662.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.