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Finding the Third Proportional to 110,841 and 237,435

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Solution

The third proportional to 110,841 and 237,435 is: 508,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,841 : 237,435 = 237,435 : x
  2. Step 2: Convert to fraction form
    110,841/237,435 = 237,435/x
  3. Step 3: Cross multiply
    110,841x = 237,435 × 237,435
  4. Step 4: Simplify right side
    110,841x = 56,375,379,225
  5. Step 5: Solve for x
    x = 56,375,379,225/110,841
  6. Step 6: Final answer
    x = 508,614.86

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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.