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Finding the Third Proportional to 116,502.75 and 252,047.25

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Solution

The third proportional to 116,502.75 and 252,047.25 is: 545,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,502.75 : 252,047.25 = 252,047.25 : x
  2. Step 2: Convert to fraction form
    116,502.75/252,047.25 = 252,047.25/x
  3. Step 3: Cross multiply
    116,502.75x = 252,047.25 × 252,047.25
  4. Step 4: Simplify right side
    116,502.75x = 63,527,816,232.56
  5. Step 5: Solve for x
    x = 63,527,816,232.56/116,502.75
  6. Step 6: Final answer
    x = 545,290.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.