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Finding the Third Proportional to 138,016 and 301,952

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Solution

The third proportional to 138,016 and 301,952 is: 660,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,016 : 301,952 = 301,952 : x
  2. Step 2: Convert to fraction form
    138,016/301,952 = 301,952/x
  3. Step 3: Cross multiply
    138,016x = 301,952 × 301,952
  4. Step 4: Simplify right side
    138,016x = 91,175,010,304
  5. Step 5: Solve for x
    x = 91,175,010,304/138,016
  6. Step 6: Final answer
    x = 660,611.89

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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.