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Finding the Third Proportional to 112,468.50 and 237,937.50

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Solution

The third proportional to 112,468.50 and 237,937.50 is: 503,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,468.50 : 237,937.50 = 237,937.50 : x
  2. Step 2: Convert to fraction form
    112,468.50/237,937.50 = 237,937.50/x
  3. Step 3: Cross multiply
    112,468.50x = 237,937.50 × 237,937.50
  4. Step 4: Simplify right side
    112,468.50x = 56,614,253,906.25
  5. Step 5: Solve for x
    x = 56,614,253,906.25/112,468.50
  6. Step 6: Final answer
    x = 503,378.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.