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Finding the Third Proportional to 210,843 and 337,224

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Solution

The third proportional to 210,843 and 337,224 is: 539,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843 : 337,224 = 337,224 : x
  2. Step 2: Convert to fraction form
    210,843/337,224 = 337,224/x
  3. Step 3: Cross multiply
    210,843x = 337,224 × 337,224
  4. Step 4: Simplify right side
    210,843x = 113,720,026,176
  5. Step 5: Solve for x
    x = 113,720,026,176/210,843
  6. Step 6: Final answer
    x = 539,358.79

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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.