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Finding the Third Proportional to 111,168 and 243,942

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Solution

The third proportional to 111,168 and 243,942 is: 535,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,168 : 243,942 = 243,942 : x
  2. Step 2: Convert to fraction form
    111,168/243,942 = 243,942/x
  3. Step 3: Cross multiply
    111,168x = 243,942 × 243,942
  4. Step 4: Simplify right side
    111,168x = 59,507,699,364
  5. Step 5: Solve for x
    x = 59,507,699,364/111,168
  6. Step 6: Final answer
    x = 535,295.22

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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.