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Finding the Third Proportional to 86,904 and 188,478

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Solution

The third proportional to 86,904 and 188,478 is: 408,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,904 : 188,478 = 188,478 : x
  2. Step 2: Convert to fraction form
    86,904/188,478 = 188,478/x
  3. Step 3: Cross multiply
    86,904x = 188,478 × 188,478
  4. Step 4: Simplify right side
    86,904x = 35,523,956,484
  5. Step 5: Solve for x
    x = 35,523,956,484/86,904
  6. Step 6: Final answer
    x = 408,772.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.