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Finding the Third Proportional to 117,864 and 242,532

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Solution

The third proportional to 117,864 and 242,532 is: 499,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,864 : 242,532 = 242,532 : x
  2. Step 2: Convert to fraction form
    117,864/242,532 = 242,532/x
  3. Step 3: Cross multiply
    117,864x = 242,532 × 242,532
  4. Step 4: Simplify right side
    117,864x = 58,821,771,024
  5. Step 5: Solve for x
    x = 58,821,771,024/117,864
  6. Step 6: Final answer
    x = 499,064.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.