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Finding the Third Proportional to 110,704 and 237,200

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Solution

The third proportional to 110,704 and 237,200 is: 508,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,704 : 237,200 = 237,200 : x
  2. Step 2: Convert to fraction form
    110,704/237,200 = 237,200/x
  3. Step 3: Cross multiply
    110,704x = 237,200 × 237,200
  4. Step 4: Simplify right side
    110,704x = 56,263,840,000
  5. Step 5: Solve for x
    x = 56,263,840,000/110,704
  6. Step 6: Final answer
    x = 508,236.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.