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Finding the Third Proportional to 118,341.84 and 166,456.27

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Solution

The third proportional to 118,341.84 and 166,456.27 is: 234,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,341.84 : 166,456.27 = 166,456.27 : x
  2. Step 2: Convert to fraction form
    118,341.84/166,456.27 = 166,456.27/x
  3. Step 3: Cross multiply
    118,341.84x = 166,456.27 × 166,456.27
  4. Step 4: Simplify right side
    118,341.84x = 27,707,688,365.82
  5. Step 5: Solve for x
    x = 27,707,688,365.82/118,341.84
  6. Step 6: Final answer
    x = 234,132.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.