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Finding the Third Proportional to 111,168 and 243,008

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Solution

The third proportional to 111,168 and 243,008 is: 531,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,168 : 243,008 = 243,008 : x
  2. Step 2: Convert to fraction form
    111,168/243,008 = 243,008/x
  3. Step 3: Cross multiply
    111,168x = 243,008 × 243,008
  4. Step 4: Simplify right side
    111,168x = 59,052,888,064
  5. Step 5: Solve for x
    x = 59,052,888,064/111,168
  6. Step 6: Final answer
    x = 531,204.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.