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Finding the Third Proportional to 112,231.50 and 246,271.50

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Solution

The third proportional to 112,231.50 and 246,271.50 is: 540,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,231.50 : 246,271.50 = 246,271.50 : x
  2. Step 2: Convert to fraction form
    112,231.50/246,271.50 = 246,271.50/x
  3. Step 3: Cross multiply
    112,231.50x = 246,271.50 × 246,271.50
  4. Step 4: Simplify right side
    112,231.50x = 60,649,651,712.25
  5. Step 5: Solve for x
    x = 60,649,651,712.25/112,231.50
  6. Step 6: Final answer
    x = 540,397.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.