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Finding the Third Proportional to 219,892 and 329,262

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Solution

The third proportional to 219,892 and 329,262 is: 493,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,892 : 329,262 = 329,262 : x
  2. Step 2: Convert to fraction form
    219,892/329,262 = 329,262/x
  3. Step 3: Cross multiply
    219,892x = 329,262 × 329,262
  4. Step 4: Simplify right side
    219,892x = 108,413,464,644
  5. Step 5: Solve for x
    x = 108,413,464,644/219,892
  6. Step 6: Final answer
    x = 493,030.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.