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Finding the Third Proportional to 110,158 and 237,812

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Solution

The third proportional to 110,158 and 237,812 is: 513,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,158 : 237,812 = 237,812 : x
  2. Step 2: Convert to fraction form
    110,158/237,812 = 237,812/x
  3. Step 3: Cross multiply
    110,158x = 237,812 × 237,812
  4. Step 4: Simplify right side
    110,158x = 56,554,547,344
  5. Step 5: Solve for x
    x = 56,554,547,344/110,158
  6. Step 6: Final answer
    x = 513,394.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.