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Finding the Third Proportional to 86,624 and 189,448

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Solution

The third proportional to 86,624 and 189,448 is: 414,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,624 : 189,448 = 189,448 : x
  2. Step 2: Convert to fraction form
    86,624/189,448 = 189,448/x
  3. Step 3: Cross multiply
    86,624x = 189,448 × 189,448
  4. Step 4: Simplify right side
    86,624x = 35,890,544,704
  5. Step 5: Solve for x
    x = 35,890,544,704/86,624
  6. Step 6: Final answer
    x = 414,325.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.