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Finding the Third Proportional to 73,378 and 160,822

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Solution

The third proportional to 73,378 and 160,822 is: 352,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,378 : 160,822 = 160,822 : x
  2. Step 2: Convert to fraction form
    73,378/160,822 = 160,822/x
  3. Step 3: Cross multiply
    73,378x = 160,822 × 160,822
  4. Step 4: Simplify right side
    73,378x = 25,863,715,684
  5. Step 5: Solve for x
    x = 25,863,715,684/73,378
  6. Step 6: Final answer
    x = 352,472.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.