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Finding the Third Proportional to 112,857 and 235,171.50

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Solution

The third proportional to 112,857 and 235,171.50 is: 490,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,857 : 235,171.50 = 235,171.50 : x
  2. Step 2: Convert to fraction form
    112,857/235,171.50 = 235,171.50/x
  3. Step 3: Cross multiply
    112,857x = 235,171.50 × 235,171.50
  4. Step 4: Simplify right side
    112,857x = 55,305,634,412.25
  5. Step 5: Solve for x
    x = 55,305,634,412.25/112,857
  6. Step 6: Final answer
    x = 490,050.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.