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Finding the Third Proportional to 111,143 and 242,698

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Solution

The third proportional to 111,143 and 242,698 is: 529,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,143 : 242,698 = 242,698 : x
  2. Step 2: Convert to fraction form
    111,143/242,698 = 242,698/x
  3. Step 3: Cross multiply
    111,143x = 242,698 × 242,698
  4. Step 4: Simplify right side
    111,143x = 58,902,319,204
  5. Step 5: Solve for x
    x = 58,902,319,204/111,143
  6. Step 6: Final answer
    x = 529,968.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.