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Finding the Third Proportional to 210,845 and 335,037

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Solution

The third proportional to 210,845 and 335,037 is: 532,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,845 : 335,037 = 335,037 : x
  2. Step 2: Convert to fraction form
    210,845/335,037 = 335,037/x
  3. Step 3: Cross multiply
    210,845x = 335,037 × 335,037
  4. Step 4: Simplify right side
    210,845x = 112,249,791,369
  5. Step 5: Solve for x
    x = 112,249,791,369/210,845
  6. Step 6: Final answer
    x = 532,380.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.