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Finding the Third Proportional to 239,568 and 359,322

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Solution

The third proportional to 239,568 and 359,322 is: 538,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,568 : 359,322 = 359,322 : x
  2. Step 2: Convert to fraction form
    239,568/359,322 = 359,322/x
  3. Step 3: Cross multiply
    239,568x = 359,322 × 359,322
  4. Step 4: Simplify right side
    239,568x = 129,112,299,684
  5. Step 5: Solve for x
    x = 129,112,299,684/239,568
  6. Step 6: Final answer
    x = 538,938.00

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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.