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Finding the Third Proportional to 109,462 and 236,388

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Solution

The third proportional to 109,462 and 236,388 is: 510,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,462 : 236,388 = 236,388 : x
  2. Step 2: Convert to fraction form
    109,462/236,388 = 236,388/x
  3. Step 3: Cross multiply
    109,462x = 236,388 × 236,388
  4. Step 4: Simplify right side
    109,462x = 55,879,286,544
  5. Step 5: Solve for x
    x = 55,879,286,544/109,462
  6. Step 6: Final answer
    x = 510,490.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.