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Finding the Third Proportional to 205,061.63 and 321,033.38

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Solution

The third proportional to 205,061.63 and 321,033.38 is: 502,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,061.63 : 321,033.38 = 321,033.38 : x
  2. Step 2: Convert to fraction form
    205,061.63/321,033.38 = 321,033.38/x
  3. Step 3: Cross multiply
    205,061.63x = 321,033.38 × 321,033.38
  4. Step 4: Simplify right side
    205,061.63x = 103,062,427,863.89
  5. Step 5: Solve for x
    x = 103,062,427,863.89/205,061.63
  6. Step 6: Final answer
    x = 502,592.47

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