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Finding the Third Proportional to 168,135.75 and 347,743.13

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Solution

The third proportional to 168,135.75 and 347,743.13 is: 719,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,135.75 : 347,743.13 = 347,743.13 : x
  2. Step 2: Convert to fraction form
    168,135.75/347,743.13 = 347,743.13/x
  3. Step 3: Cross multiply
    168,135.75x = 347,743.13 × 347,743.13
  4. Step 4: Simplify right side
    168,135.75x = 120,925,280,984.77
  5. Step 5: Solve for x
    x = 120,925,280,984.77/168,135.75
  6. Step 6: Final answer
    x = 719,212.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.