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Finding the Third Proportional to 114,272.50 and 246,106

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Solution

The third proportional to 114,272.50 and 246,106 is: 530,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,272.50 : 246,106 = 246,106 : x
  2. Step 2: Convert to fraction form
    114,272.50/246,106 = 246,106/x
  3. Step 3: Cross multiply
    114,272.50x = 246,106 × 246,106
  4. Step 4: Simplify right side
    114,272.50x = 60,568,163,236
  5. Step 5: Solve for x
    x = 60,568,163,236/114,272.50
  6. Step 6: Final answer
    x = 530,032.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.