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Finding the Third Proportional to 210,843 and 335,034

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Solution

The third proportional to 210,843 and 335,034 is: 532,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843 : 335,034 = 335,034 : x
  2. Step 2: Convert to fraction form
    210,843/335,034 = 335,034/x
  3. Step 3: Cross multiply
    210,843x = 335,034 × 335,034
  4. Step 4: Simplify right side
    210,843x = 112,247,781,156
  5. Step 5: Solve for x
    x = 112,247,781,156/210,843
  6. Step 6: Final answer
    x = 532,376.13

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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.