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Finding the Third Proportional to 138,076 and 301,996

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Solution

The third proportional to 138,076 and 301,996 is: 660,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,076 : 301,996 = 301,996 : x
  2. Step 2: Convert to fraction form
    138,076/301,996 = 301,996/x
  3. Step 3: Cross multiply
    138,076x = 301,996 × 301,996
  4. Step 4: Simplify right side
    138,076x = 91,201,584,016
  5. Step 5: Solve for x
    x = 91,201,584,016/138,076
  6. Step 6: Final answer
    x = 660,517.28

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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.