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Finding the Third Proportional to 210,998 and 281,859

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Solution

The third proportional to 210,998 and 281,859 is: 376,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,998 : 281,859 = 281,859 : x
  2. Step 2: Convert to fraction form
    210,998/281,859 = 281,859/x
  3. Step 3: Cross multiply
    210,998x = 281,859 × 281,859
  4. Step 4: Simplify right side
    210,998x = 79,444,495,881
  5. Step 5: Solve for x
    x = 79,444,495,881/210,998
  6. Step 6: Final answer
    x = 376,517.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.