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Finding the Third Proportional to 239,112 and 358,209

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Solution

The third proportional to 239,112 and 358,209 is: 536,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,112 : 358,209 = 358,209 : x
  2. Step 2: Convert to fraction form
    239,112/358,209 = 358,209/x
  3. Step 3: Cross multiply
    239,112x = 358,209 × 358,209
  4. Step 4: Simplify right side
    239,112x = 128,313,687,681
  5. Step 5: Solve for x
    x = 128,313,687,681/239,112
  6. Step 6: Final answer
    x = 536,625.88

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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.