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Finding the Third Proportional to 159,817.50 and 344,544.75

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Solution

The third proportional to 159,817.50 and 344,544.75 is: 742,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,817.50 : 344,544.75 = 344,544.75 : x
  2. Step 2: Convert to fraction form
    159,817.50/344,544.75 = 344,544.75/x
  3. Step 3: Cross multiply
    159,817.50x = 344,544.75 × 344,544.75
  4. Step 4: Simplify right side
    159,817.50x = 118,711,084,752.56
  5. Step 5: Solve for x
    x = 118,711,084,752.56/159,817.50
  6. Step 6: Final answer
    x = 742,791.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.