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Finding the Third Proportional to 219,847.50 and 451,345.50

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Solution

The third proportional to 219,847.50 and 451,345.50 is: 926,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,847.50 : 451,345.50 = 451,345.50 : x
  2. Step 2: Convert to fraction form
    219,847.50/451,345.50 = 451,345.50/x
  3. Step 3: Cross multiply
    219,847.50x = 451,345.50 × 451,345.50
  4. Step 4: Simplify right side
    219,847.50x = 203,712,760,370.25
  5. Step 5: Solve for x
    x = 203,712,760,370.25/219,847.50
  6. Step 6: Final answer
    x = 926,609.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.