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Finding the Third Proportional to 111,152 and 242,714

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Solution

The third proportional to 111,152 and 242,714 is: 529,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,152 : 242,714 = 242,714 : x
  2. Step 2: Convert to fraction form
    111,152/242,714 = 242,714/x
  3. Step 3: Cross multiply
    111,152x = 242,714 × 242,714
  4. Step 4: Simplify right side
    111,152x = 58,910,085,796
  5. Step 5: Solve for x
    x = 58,910,085,796/111,152
  6. Step 6: Final answer
    x = 529,995.73

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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.