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Finding the Third Proportional to 160,035.75 and 342,843.75

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Solution

The third proportional to 160,035.75 and 342,843.75 is: 734,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,035.75 : 342,843.75 = 342,843.75 : x
  2. Step 2: Convert to fraction form
    160,035.75/342,843.75 = 342,843.75/x
  3. Step 3: Cross multiply
    160,035.75x = 342,843.75 × 342,843.75
  4. Step 4: Simplify right side
    160,035.75x = 117,541,836,914.06
  5. Step 5: Solve for x
    x = 117,541,836,914.06/160,035.75
  6. Step 6: Final answer
    x = 734,472.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.