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Finding the Third Proportional to 168,072.75 and 361,633.50

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Solution

The third proportional to 168,072.75 and 361,633.50 is: 778,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,072.75 : 361,633.50 = 361,633.50 : x
  2. Step 2: Convert to fraction form
    168,072.75/361,633.50 = 361,633.50/x
  3. Step 3: Cross multiply
    168,072.75x = 361,633.50 × 361,633.50
  4. Step 4: Simplify right side
    168,072.75x = 130,778,788,322.25
  5. Step 5: Solve for x
    x = 130,778,788,322.25/168,072.75
  6. Step 6: Final answer
    x = 778,108.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.