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Finding the Third Proportional to 90,522 and 189,306

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Solution

The third proportional to 90,522 and 189,306 is: 395,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,522 : 189,306 = 189,306 : x
  2. Step 2: Convert to fraction form
    90,522/189,306 = 189,306/x
  3. Step 3: Cross multiply
    90,522x = 189,306 × 189,306
  4. Step 4: Simplify right side
    90,522x = 35,836,761,636
  5. Step 5: Solve for x
    x = 35,836,761,636/90,522
  6. Step 6: Final answer
    x = 395,890.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.