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Finding the Third Proportional to 199,181 and 430,074

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Solution

The third proportional to 199,181 and 430,074 is: 928,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,181 : 430,074 = 430,074 : x
  2. Step 2: Convert to fraction form
    199,181/430,074 = 430,074/x
  3. Step 3: Cross multiply
    199,181x = 430,074 × 430,074
  4. Step 4: Simplify right side
    199,181x = 184,963,645,476
  5. Step 5: Solve for x
    x = 184,963,645,476/199,181
  6. Step 6: Final answer
    x = 928,620.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.