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Finding the Third Proportional to 138,417 and 301,848

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Solution

The third proportional to 138,417 and 301,848 is: 658,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417 : 301,848 = 301,848 : x
  2. Step 2: Convert to fraction form
    138,417/301,848 = 301,848/x
  3. Step 3: Cross multiply
    138,417x = 301,848 × 301,848
  4. Step 4: Simplify right side
    138,417x = 91,112,215,104
  5. Step 5: Solve for x
    x = 91,112,215,104/138,417
  6. Step 6: Final answer
    x = 658,244.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.