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Finding the Third Proportional to 161,734.50 and 352,837.13

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Solution

The third proportional to 161,734.50 and 352,837.13 is: 769,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,734.50 : 352,837.13 = 352,837.13 : x
  2. Step 2: Convert to fraction form
    161,734.50/352,837.13 = 352,837.13/x
  3. Step 3: Cross multiply
    161,734.50x = 352,837.13 × 352,837.13
  4. Step 4: Simplify right side
    161,734.50x = 124,494,036,778.27
  5. Step 5: Solve for x
    x = 124,494,036,778.27/161,734.50
  6. Step 6: Final answer
    x = 769,743.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.