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Finding the Third Proportional to 239,468 and 359,204

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Solution

The third proportional to 239,468 and 359,204 is: 538,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,468 : 359,204 = 359,204 : x
  2. Step 2: Convert to fraction form
    239,468/359,204 = 359,204/x
  3. Step 3: Cross multiply
    239,468x = 359,204 × 359,204
  4. Step 4: Simplify right side
    239,468x = 129,027,513,616
  5. Step 5: Solve for x
    x = 129,027,513,616/239,468
  6. Step 6: Final answer
    x = 538,809.00

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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.