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Finding the Third Proportional to 210,832 and 337,206

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Solution

The third proportional to 210,832 and 337,206 is: 539,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,832 : 337,206 = 337,206 : x
  2. Step 2: Convert to fraction form
    210,832/337,206 = 337,206/x
  3. Step 3: Cross multiply
    210,832x = 337,206 × 337,206
  4. Step 4: Simplify right side
    210,832x = 113,707,886,436
  5. Step 5: Solve for x
    x = 113,707,886,436/210,832
  6. Step 6: Final answer
    x = 539,329.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.