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Finding the Third Proportional to 199,197 and 430,086

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Solution

The third proportional to 199,197 and 430,086 is: 928,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,197 : 430,086 = 430,086 : x
  2. Step 2: Convert to fraction form
    199,197/430,086 = 430,086/x
  3. Step 3: Cross multiply
    199,197x = 430,086 × 430,086
  4. Step 4: Simplify right side
    199,197x = 184,973,967,396
  5. Step 5: Solve for x
    x = 184,973,967,396/199,197
  6. Step 6: Final answer
    x = 928,598.16

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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.