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Finding the Third Proportional to 167,427 and 405,202.50

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Solution

The third proportional to 167,427 and 405,202.50 is: 980,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,427 : 405,202.50 = 405,202.50 : x
  2. Step 2: Convert to fraction form
    167,427/405,202.50 = 405,202.50/x
  3. Step 3: Cross multiply
    167,427x = 405,202.50 × 405,202.50
  4. Step 4: Simplify right side
    167,427x = 164,189,066,006.25
  5. Step 5: Solve for x
    x = 164,189,066,006.25/167,427
  6. Step 6: Final answer
    x = 980,660.62

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.