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Finding the Third Proportional to 176,980 and 388,952

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Solution

The third proportional to 176,980 and 388,952 is: 854,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,980 : 388,952 = 388,952 : x
  2. Step 2: Convert to fraction form
    176,980/388,952 = 388,952/x
  3. Step 3: Cross multiply
    176,980x = 388,952 × 388,952
  4. Step 4: Simplify right side
    176,980x = 151,283,658,304
  5. Step 5: Solve for x
    x = 151,283,658,304/176,980
  6. Step 6: Final answer
    x = 854,806.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.