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Finding the Third Proportional to 88,600 and 189,494

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Solution

The third proportional to 88,600 and 189,494 is: 405,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,600 : 189,494 = 189,494 : x
  2. Step 2: Convert to fraction form
    88,600/189,494 = 189,494/x
  3. Step 3: Cross multiply
    88,600x = 189,494 × 189,494
  4. Step 4: Simplify right side
    88,600x = 35,907,976,036
  5. Step 5: Solve for x
    x = 35,907,976,036/88,600
  6. Step 6: Final answer
    x = 405,281.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.