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Finding the Third Proportional to 110,166 and 237,828

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Solution

The third proportional to 110,166 and 237,828 is: 513,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,166 : 237,828 = 237,828 : x
  2. Step 2: Convert to fraction form
    110,166/237,828 = 237,828/x
  3. Step 3: Cross multiply
    110,166x = 237,828 × 237,828
  4. Step 4: Simplify right side
    110,166x = 56,562,157,584
  5. Step 5: Solve for x
    x = 56,562,157,584/110,166
  6. Step 6: Final answer
    x = 513,426.63

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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.