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Finding the Third Proportional to 210,848 and 335,042

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Solution

The third proportional to 210,848 and 335,042 is: 532,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,848 : 335,042 = 335,042 : x
  2. Step 2: Convert to fraction form
    210,848/335,042 = 335,042/x
  3. Step 3: Cross multiply
    210,848x = 335,042 × 335,042
  4. Step 4: Simplify right side
    210,848x = 112,253,141,764
  5. Step 5: Solve for x
    x = 112,253,141,764/210,848
  6. Step 6: Final answer
    x = 532,388.93

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