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Finding the Third Proportional to 242,022 and 384,388

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Solution

The third proportional to 242,022 and 384,388 is: 610,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,022 : 384,388 = 384,388 : x
  2. Step 2: Convert to fraction form
    242,022/384,388 = 384,388/x
  3. Step 3: Cross multiply
    242,022x = 384,388 × 384,388
  4. Step 4: Simplify right side
    242,022x = 147,754,134,544
  5. Step 5: Solve for x
    x = 147,754,134,544/242,022
  6. Step 6: Final answer
    x = 610,498.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.