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Finding the Third Proportional to 189,032 and 409,093

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Solution

The third proportional to 189,032 and 409,093 is: 885,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,032 : 409,093 = 409,093 : x
  2. Step 2: Convert to fraction form
    189,032/409,093 = 409,093/x
  3. Step 3: Cross multiply
    189,032x = 409,093 × 409,093
  4. Step 4: Simplify right side
    189,032x = 167,357,082,649
  5. Step 5: Solve for x
    x = 167,357,082,649/189,032
  6. Step 6: Final answer
    x = 885,337.31

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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.