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Finding the Third Proportional to 199,700.44 and 280,892.81

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Solution

The third proportional to 199,700.44 and 280,892.81 is: 395,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,700.44 : 280,892.81 = 280,892.81 : x
  2. Step 2: Convert to fraction form
    199,700.44/280,892.81 = 280,892.81/x
  3. Step 3: Cross multiply
    199,700.44x = 280,892.81 × 280,892.81
  4. Step 4: Simplify right side
    199,700.44x = 78,900,772,114.16
  5. Step 5: Solve for x
    x = 78,900,772,114.16/199,700.44
  6. Step 6: Final answer
    x = 395,095.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.