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Finding the Third Proportional to 205,513.50 and 322,472.25

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Solution

The third proportional to 205,513.50 and 322,472.25 is: 505,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513.50 : 322,472.25 = 322,472.25 : x
  2. Step 2: Convert to fraction form
    205,513.50/322,472.25 = 322,472.25/x
  3. Step 3: Cross multiply
    205,513.50x = 322,472.25 × 322,472.25
  4. Step 4: Simplify right side
    205,513.50x = 103,988,352,020.06
  5. Step 5: Solve for x
    x = 103,988,352,020.06/205,513.50
  6. Step 6: Final answer
    x = 505,992.80

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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.