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Finding the Third Proportional to 210,972 and 281,822

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Solution

The third proportional to 210,972 and 281,822 is: 376,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,972 : 281,822 = 281,822 : x
  2. Step 2: Convert to fraction form
    210,972/281,822 = 281,822/x
  3. Step 3: Cross multiply
    210,972x = 281,822 × 281,822
  4. Step 4: Simplify right side
    210,972x = 79,423,639,684
  5. Step 5: Solve for x
    x = 79,423,639,684/210,972
  6. Step 6: Final answer
    x = 376,465.31

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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.