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Finding the Third Proportional to 108,864 and 236,388

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Solution

The third proportional to 108,864 and 236,388 is: 513,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,864 : 236,388 = 236,388 : x
  2. Step 2: Convert to fraction form
    108,864/236,388 = 236,388/x
  3. Step 3: Cross multiply
    108,864x = 236,388 × 236,388
  4. Step 4: Simplify right side
    108,864x = 55,879,286,544
  5. Step 5: Solve for x
    x = 55,879,286,544/108,864
  6. Step 6: Final answer
    x = 513,294.45

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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.