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Finding the Third Proportional to 126,318 and 271,740

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Solution

The third proportional to 126,318 and 271,740 is: 584,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,318 : 271,740 = 271,740 : x
  2. Step 2: Convert to fraction form
    126,318/271,740 = 271,740/x
  3. Step 3: Cross multiply
    126,318x = 271,740 × 271,740
  4. Step 4: Simplify right side
    126,318x = 73,842,627,600
  5. Step 5: Solve for x
    x = 73,842,627,600/126,318
  6. Step 6: Final answer
    x = 584,577.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.