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Finding the Third Proportional to 109,456 and 236,000

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Solution

The third proportional to 109,456 and 236,000 is: 508,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,456 : 236,000 = 236,000 : x
  2. Step 2: Convert to fraction form
    109,456/236,000 = 236,000/x
  3. Step 3: Cross multiply
    109,456x = 236,000 × 236,000
  4. Step 4: Simplify right side
    109,456x = 55,696,000,000
  5. Step 5: Solve for x
    x = 55,696,000,000/109,456
  6. Step 6: Final answer
    x = 508,843.74

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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.