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Finding the Third Proportional to 111,894 and 243,266

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Solution

The third proportional to 111,894 and 243,266 is: 528,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,894 : 243,266 = 243,266 : x
  2. Step 2: Convert to fraction form
    111,894/243,266 = 243,266/x
  3. Step 3: Cross multiply
    111,894x = 243,266 × 243,266
  4. Step 4: Simplify right side
    111,894x = 59,178,346,756
  5. Step 5: Solve for x
    x = 59,178,346,756/111,894
  6. Step 6: Final answer
    x = 528,878.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.