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Finding the Third Proportional to 205,609.50 and 322,614.50

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Solution

The third proportional to 205,609.50 and 322,614.50 is: 506,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,609.50 : 322,614.50 = 322,614.50 : x
  2. Step 2: Convert to fraction form
    205,609.50/322,614.50 = 322,614.50/x
  3. Step 3: Cross multiply
    205,609.50x = 322,614.50 × 322,614.50
  4. Step 4: Simplify right side
    205,609.50x = 104,080,115,610.25
  5. Step 5: Solve for x
    x = 104,080,115,610.25/205,609.50
  6. Step 6: Final answer
    x = 506,202.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.