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Finding the Third Proportional to 114,014.25 and 246,172.50

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Solution

The third proportional to 114,014.25 and 246,172.50 is: 531,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,014.25 : 246,172.50 = 246,172.50 : x
  2. Step 2: Convert to fraction form
    114,014.25/246,172.50 = 246,172.50/x
  3. Step 3: Cross multiply
    114,014.25x = 246,172.50 × 246,172.50
  4. Step 4: Simplify right side
    114,014.25x = 60,600,899,756.25
  5. Step 5: Solve for x
    x = 60,600,899,756.25/114,014.25
  6. Step 6: Final answer
    x = 531,520.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.