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Finding the Third Proportional to 164,579.75 and 245,793

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Solution

The third proportional to 164,579.75 and 245,793 is: 367,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,579.75 : 245,793 = 245,793 : x
  2. Step 2: Convert to fraction form
    164,579.75/245,793 = 245,793/x
  3. Step 3: Cross multiply
    164,579.75x = 245,793 × 245,793
  4. Step 4: Simplify right side
    164,579.75x = 60,414,198,849
  5. Step 5: Solve for x
    x = 60,414,198,849/164,579.75
  6. Step 6: Final answer
    x = 367,081.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.