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Finding the Third Proportional to 202,150.13 and 239,055.75

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Solution

The third proportional to 202,150.13 and 239,055.75 is: 282,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,150.13 : 239,055.75 = 239,055.75 : x
  2. Step 2: Convert to fraction form
    202,150.13/239,055.75 = 239,055.75/x
  3. Step 3: Cross multiply
    202,150.13x = 239,055.75 × 239,055.75
  4. Step 4: Simplify right side
    202,150.13x = 57,147,651,608.06
  5. Step 5: Solve for x
    x = 57,147,651,608.06/202,150.13
  6. Step 6: Final answer
    x = 282,699.07

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.