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Finding the Third Proportional to 185,538 and 277,822

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Solution

The third proportional to 185,538 and 277,822 is: 416,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,538 : 277,822 = 277,822 : x
  2. Step 2: Convert to fraction form
    185,538/277,822 = 277,822/x
  3. Step 3: Cross multiply
    185,538x = 277,822 × 277,822
  4. Step 4: Simplify right side
    185,538x = 77,185,063,684
  5. Step 5: Solve for x
    x = 77,185,063,684/185,538
  6. Step 6: Final answer
    x = 416,006.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.