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Finding the Third Proportional to 110,166 and 237,846

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Solution

The third proportional to 110,166 and 237,846 is: 513,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,166 : 237,846 = 237,846 : x
  2. Step 2: Convert to fraction form
    110,166/237,846 = 237,846/x
  3. Step 3: Cross multiply
    110,166x = 237,846 × 237,846
  4. Step 4: Simplify right side
    110,166x = 56,570,719,716
  5. Step 5: Solve for x
    x = 56,570,719,716/110,166
  6. Step 6: Final answer
    x = 513,504.35

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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.