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Finding the Third Proportional to 171,114 and 275,683

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Solution

The third proportional to 171,114 and 275,683 is: 444,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,114 : 275,683 = 275,683 : x
  2. Step 2: Convert to fraction form
    171,114/275,683 = 275,683/x
  3. Step 3: Cross multiply
    171,114x = 275,683 × 275,683
  4. Step 4: Simplify right side
    171,114x = 76,001,116,489
  5. Step 5: Solve for x
    x = 76,001,116,489/171,114
  6. Step 6: Final answer
    x = 444,154.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.