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Finding the Third Proportional to 210,630 and 273,249

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Solution

The third proportional to 210,630 and 273,249 is: 354,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,630 : 273,249 = 273,249 : x
  2. Step 2: Convert to fraction form
    210,630/273,249 = 273,249/x
  3. Step 3: Cross multiply
    210,630x = 273,249 × 273,249
  4. Step 4: Simplify right side
    210,630x = 74,665,016,001
  5. Step 5: Solve for x
    x = 74,665,016,001/210,630
  6. Step 6: Final answer
    x = 354,484.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.