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Finding the Third Proportional to 110,746 and 237,227

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Solution

The third proportional to 110,746 and 237,227 is: 508,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,746 : 237,227 = 237,227 : x
  2. Step 2: Convert to fraction form
    110,746/237,227 = 237,227/x
  3. Step 3: Cross multiply
    110,746x = 237,227 × 237,227
  4. Step 4: Simplify right side
    110,746x = 56,276,649,529
  5. Step 5: Solve for x
    x = 56,276,649,529/110,746
  6. Step 6: Final answer
    x = 508,159.66

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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.