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Finding the Third Proportional to 110,794 and 237,132

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Solution

The third proportional to 110,794 and 237,132 is: 507,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,794 : 237,132 = 237,132 : x
  2. Step 2: Convert to fraction form
    110,794/237,132 = 237,132/x
  3. Step 3: Cross multiply
    110,794x = 237,132 × 237,132
  4. Step 4: Simplify right side
    110,794x = 56,231,585,424
  5. Step 5: Solve for x
    x = 56,231,585,424/110,794
  6. Step 6: Final answer
    x = 507,532.77

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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.