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Finding the Third Proportional to 118,224.56 and 177,364.69

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Solution

The third proportional to 118,224.56 and 177,364.69 is: 266,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,224.56 : 177,364.69 = 177,364.69 : x
  2. Step 2: Convert to fraction form
    118,224.56/177,364.69 = 177,364.69/x
  3. Step 3: Cross multiply
    118,224.56x = 177,364.69 × 177,364.69
  4. Step 4: Simplify right side
    118,224.56x = 31,458,232,371.97
  5. Step 5: Solve for x
    x = 31,458,232,371.97/118,224.56
  6. Step 6: Final answer
    x = 266,088.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.