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Finding the Third Proportional to 219,298.50 and 330,567

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Solution

The third proportional to 219,298.50 and 330,567 is: 498,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,298.50 : 330,567 = 330,567 : x
  2. Step 2: Convert to fraction form
    219,298.50/330,567 = 330,567/x
  3. Step 3: Cross multiply
    219,298.50x = 330,567 × 330,567
  4. Step 4: Simplify right side
    219,298.50x = 109,274,541,489
  5. Step 5: Solve for x
    x = 109,274,541,489/219,298.50
  6. Step 6: Final answer
    x = 498,291.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.