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Finding the Third Proportional to 218,176 and 293,184

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Solution

The third proportional to 218,176 and 293,184 is: 393,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,176 : 293,184 = 293,184 : x
  2. Step 2: Convert to fraction form
    218,176/293,184 = 293,184/x
  3. Step 3: Cross multiply
    218,176x = 293,184 × 293,184
  4. Step 4: Simplify right side
    218,176x = 85,956,857,856
  5. Step 5: Solve for x
    x = 85,956,857,856/218,176
  6. Step 6: Final answer
    x = 393,979.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.