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Finding the Third Proportional to 219,224 and 328,866

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Solution

The third proportional to 219,224 and 328,866 is: 493,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,224 : 328,866 = 328,866 : x
  2. Step 2: Convert to fraction form
    219,224/328,866 = 328,866/x
  3. Step 3: Cross multiply
    219,224x = 328,866 × 328,866
  4. Step 4: Simplify right side
    219,224x = 108,152,845,956
  5. Step 5: Solve for x
    x = 108,152,845,956/219,224
  6. Step 6: Final answer
    x = 493,344.00

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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.