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Finding the Third Proportional to 109,323 and 164,322

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Solution

The third proportional to 109,323 and 164,322 is: 246,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,323 : 164,322 = 164,322 : x
  2. Step 2: Convert to fraction form
    109,323/164,322 = 164,322/x
  3. Step 3: Cross multiply
    109,323x = 164,322 × 164,322
  4. Step 4: Simplify right side
    109,323x = 27,001,719,684
  5. Step 5: Solve for x
    x = 27,001,719,684/109,323
  6. Step 6: Final answer
    x = 246,990.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.