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Finding the Third Proportional to 109,854 and 236,268

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Solution

The third proportional to 109,854 and 236,268 is: 508,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,854 : 236,268 = 236,268 : x
  2. Step 2: Convert to fraction form
    109,854/236,268 = 236,268/x
  3. Step 3: Cross multiply
    109,854x = 236,268 × 236,268
  4. Step 4: Simplify right side
    109,854x = 55,822,567,824
  5. Step 5: Solve for x
    x = 55,822,567,824/109,854
  6. Step 6: Final answer
    x = 508,152.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.