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Finding the Third Proportional to 210,942 and 326,713

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Solution

The third proportional to 210,942 and 326,713 is: 506,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,942 : 326,713 = 326,713 : x
  2. Step 2: Convert to fraction form
    210,942/326,713 = 326,713/x
  3. Step 3: Cross multiply
    210,942x = 326,713 × 326,713
  4. Step 4: Simplify right side
    210,942x = 106,741,384,369
  5. Step 5: Solve for x
    x = 106,741,384,369/210,942
  6. Step 6: Final answer
    x = 506,022.43

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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.