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Finding the Third Proportional to 189,892 and 295,206

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Solution

The third proportional to 189,892 and 295,206 is: 458,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,892 : 295,206 = 295,206 : x
  2. Step 2: Convert to fraction form
    189,892/295,206 = 295,206/x
  3. Step 3: Cross multiply
    189,892x = 295,206 × 295,206
  4. Step 4: Simplify right side
    189,892x = 87,146,582,436
  5. Step 5: Solve for x
    x = 87,146,582,436/189,892
  6. Step 6: Final answer
    x = 458,927.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.