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Finding the Third Proportional to 225,312 and 422,238

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Solution

The third proportional to 225,312 and 422,238 is: 791,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,312 : 422,238 = 422,238 : x
  2. Step 2: Convert to fraction form
    225,312/422,238 = 422,238/x
  3. Step 3: Cross multiply
    225,312x = 422,238 × 422,238
  4. Step 4: Simplify right side
    225,312x = 178,284,928,644
  5. Step 5: Solve for x
    x = 178,284,928,644/225,312
  6. Step 6: Final answer
    x = 791,280.22

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.