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Finding the Third Proportional to 189,889.50 and 405,195

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Solution

The third proportional to 189,889.50 and 405,195 is: 864,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,889.50 : 405,195 = 405,195 : x
  2. Step 2: Convert to fraction form
    189,889.50/405,195 = 405,195/x
  3. Step 3: Cross multiply
    189,889.50x = 405,195 × 405,195
  4. Step 4: Simplify right side
    189,889.50x = 164,182,988,025
  5. Step 5: Solve for x
    x = 164,182,988,025/189,889.50
  6. Step 6: Final answer
    x = 864,623.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.