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Finding the Third Proportional to 204,940.13 and 310,268.81

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Solution

The third proportional to 204,940.13 and 310,268.81 is: 469,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,940.13 : 310,268.81 = 310,268.81 : x
  2. Step 2: Convert to fraction form
    204,940.13/310,268.81 = 310,268.81/x
  3. Step 3: Cross multiply
    204,940.13x = 310,268.81 × 310,268.81
  4. Step 4: Simplify right side
    204,940.13x = 96,266,736,010.16
  5. Step 5: Solve for x
    x = 96,266,736,010.16/204,940.13
  6. Step 6: Final answer
    x = 469,731.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.