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Finding the Third Proportional to 189,874.13 and 293,923.69

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Solution

The third proportional to 189,874.13 and 293,923.69 is: 454,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,874.13 : 293,923.69 = 293,923.69 : x
  2. Step 2: Convert to fraction form
    189,874.13/293,923.69 = 293,923.69/x
  3. Step 3: Cross multiply
    189,874.13x = 293,923.69 × 293,923.69
  4. Step 4: Simplify right side
    189,874.13x = 86,391,134,073.60
  5. Step 5: Solve for x
    x = 86,391,134,073.60/189,874.13
  6. Step 6: Final answer
    x = 454,991.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.