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Finding the Third Proportional to 160,841 and 343,769.50

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Solution

The third proportional to 160,841 and 343,769.50 is: 734,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,841 : 343,769.50 = 343,769.50 : x
  2. Step 2: Convert to fraction form
    160,841/343,769.50 = 343,769.50/x
  3. Step 3: Cross multiply
    160,841x = 343,769.50 × 343,769.50
  4. Step 4: Simplify right side
    160,841x = 118,177,469,130.25
  5. Step 5: Solve for x
    x = 118,177,469,130.25/160,841
  6. Step 6: Final answer
    x = 734,747.17

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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.