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Finding the Third Proportional to 133,083 and 295,691

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Solution

The third proportional to 133,083 and 295,691 is: 656,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083 : 295,691 = 295,691 : x
  2. Step 2: Convert to fraction form
    133,083/295,691 = 295,691/x
  3. Step 3: Cross multiply
    133,083x = 295,691 × 295,691
  4. Step 4: Simplify right side
    133,083x = 87,433,167,481
  5. Step 5: Solve for x
    x = 87,433,167,481/133,083
  6. Step 6: Final answer
    x = 656,982.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.