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Finding the Third Proportional to 133,534 and 207,960

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Solution

The third proportional to 133,534 and 207,960 is: 323,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,534 : 207,960 = 207,960 : x
  2. Step 2: Convert to fraction form
    133,534/207,960 = 207,960/x
  3. Step 3: Cross multiply
    133,534x = 207,960 × 207,960
  4. Step 4: Simplify right side
    133,534x = 43,247,361,600
  5. Step 5: Solve for x
    x = 43,247,361,600/133,534
  6. Step 6: Final answer
    x = 323,867.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.