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Finding the Third Proportional to 160,282 and 227,822

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Solution

The third proportional to 160,282 and 227,822 is: 323,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,282 : 227,822 = 227,822 : x
  2. Step 2: Convert to fraction form
    160,282/227,822 = 227,822/x
  3. Step 3: Cross multiply
    160,282x = 227,822 × 227,822
  4. Step 4: Simplify right side
    160,282x = 51,902,863,684
  5. Step 5: Solve for x
    x = 51,902,863,684/160,282
  6. Step 6: Final answer
    x = 323,822.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.