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Finding the Third Proportional to 168,382.55 and 365,830.17

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Solution

The third proportional to 168,382.55 and 365,830.17 is: 794,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,382.55 : 365,830.17 = 365,830.17 : x
  2. Step 2: Convert to fraction form
    168,382.55/365,830.17 = 365,830.17/x
  3. Step 3: Cross multiply
    168,382.55x = 365,830.17 × 365,830.17
  4. Step 4: Simplify right side
    168,382.55x = 133,831,714,654.09
  5. Step 5: Solve for x
    x = 133,831,714,654.09/168,382.55
  6. Step 6: Final answer
    x = 794,807.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.