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Finding the Third Proportional to 189,051 and 409,134

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Solution

The third proportional to 189,051 and 409,134 is: 885,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,051 : 409,134 = 409,134 : x
  2. Step 2: Convert to fraction form
    189,051/409,134 = 409,134/x
  3. Step 3: Cross multiply
    189,051x = 409,134 × 409,134
  4. Step 4: Simplify right side
    189,051x = 167,390,629,956
  5. Step 5: Solve for x
    x = 167,390,629,956/189,051
  6. Step 6: Final answer
    x = 885,425.78

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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.