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Finding the Third Proportional to 111,100 and 242,522

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Solution

The third proportional to 111,100 and 242,522 is: 529,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,100 : 242,522 = 242,522 : x
  2. Step 2: Convert to fraction form
    111,100/242,522 = 242,522/x
  3. Step 3: Cross multiply
    111,100x = 242,522 × 242,522
  4. Step 4: Simplify right side
    111,100x = 58,816,920,484
  5. Step 5: Solve for x
    x = 58,816,920,484/111,100
  6. Step 6: Final answer
    x = 529,405.22

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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.