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Finding the Third Proportional to 205,509.66 and 322,462.90

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Solution

The third proportional to 205,509.66 and 322,462.90 is: 505,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,509.66 : 322,462.90 = 322,462.90 : x
  2. Step 2: Convert to fraction form
    205,509.66/322,462.90 = 322,462.90/x
  3. Step 3: Cross multiply
    205,509.66x = 322,462.90 × 322,462.90
  4. Step 4: Simplify right side
    205,509.66x = 103,982,320,868.71
  5. Step 5: Solve for x
    x = 103,982,320,868.71/205,509.66
  6. Step 6: Final answer
    x = 505,972.92

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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.