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Finding the Third Proportional to 111,024 and 242,496

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Solution

The third proportional to 111,024 and 242,496 is: 529,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,024 : 242,496 = 242,496 : x
  2. Step 2: Convert to fraction form
    111,024/242,496 = 242,496/x
  3. Step 3: Cross multiply
    111,024x = 242,496 × 242,496
  4. Step 4: Simplify right side
    111,024x = 58,804,310,016
  5. Step 5: Solve for x
    x = 58,804,310,016/111,024
  6. Step 6: Final answer
    x = 529,654.04

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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.