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Finding the Third Proportional to 219,604.50 and 321,030

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Solution

The third proportional to 219,604.50 and 321,030 is: 469,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,604.50 : 321,030 = 321,030 : x
  2. Step 2: Convert to fraction form
    219,604.50/321,030 = 321,030/x
  3. Step 3: Cross multiply
    219,604.50x = 321,030 × 321,030
  4. Step 4: Simplify right side
    219,604.50x = 103,060,260,900
  5. Step 5: Solve for x
    x = 103,060,260,900/219,604.50
  6. Step 6: Final answer
    x = 469,299.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.