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Finding the Third Proportional to 210,223 and 326,406

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Solution

The third proportional to 210,223 and 326,406 is: 506,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,223 : 326,406 = 326,406 : x
  2. Step 2: Convert to fraction form
    210,223/326,406 = 326,406/x
  3. Step 3: Cross multiply
    210,223x = 326,406 × 326,406
  4. Step 4: Simplify right side
    210,223x = 106,540,876,836
  5. Step 5: Solve for x
    x = 106,540,876,836/210,223
  6. Step 6: Final answer
    x = 506,799.34

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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.