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Finding the Third Proportional to 110,171 and 237,834

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Solution

The third proportional to 110,171 and 237,834 is: 513,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,171 : 237,834 = 237,834 : x
  2. Step 2: Convert to fraction form
    110,171/237,834 = 237,834/x
  3. Step 3: Cross multiply
    110,171x = 237,834 × 237,834
  4. Step 4: Simplify right side
    110,171x = 56,565,011,556
  5. Step 5: Solve for x
    x = 56,565,011,556/110,171
  6. Step 6: Final answer
    x = 513,429.23

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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.