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Finding the Third Proportional to 174,663.56 and 355,749.75

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Solution

The third proportional to 174,663.56 and 355,749.75 is: 724,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,663.56 : 355,749.75 = 355,749.75 : x
  2. Step 2: Convert to fraction form
    174,663.56/355,749.75 = 355,749.75/x
  3. Step 3: Cross multiply
    174,663.56x = 355,749.75 × 355,749.75
  4. Step 4: Simplify right side
    174,663.56x = 126,557,884,625.06
  5. Step 5: Solve for x
    x = 126,557,884,625.06/174,663.56
  6. Step 6: Final answer
    x = 724,580.92

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.