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Finding the Third Proportional to 189,864 and 295,164

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Solution

The third proportional to 189,864 and 295,164 is: 458,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,864 : 295,164 = 295,164 : x
  2. Step 2: Convert to fraction form
    189,864/295,164 = 295,164/x
  3. Step 3: Cross multiply
    189,864x = 295,164 × 295,164
  4. Step 4: Simplify right side
    189,864x = 87,121,786,896
  5. Step 5: Solve for x
    x = 87,121,786,896/189,864
  6. Step 6: Final answer
    x = 458,864.17

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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.