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Finding the Third Proportional to 118,174.50 and 177,348

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Solution

The third proportional to 118,174.50 and 177,348 is: 266,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,174.50 : 177,348 = 177,348 : x
  2. Step 2: Convert to fraction form
    118,174.50/177,348 = 177,348/x
  3. Step 3: Cross multiply
    118,174.50x = 177,348 × 177,348
  4. Step 4: Simplify right side
    118,174.50x = 31,452,313,104
  5. Step 5: Solve for x
    x = 31,452,313,104/118,174.50
  6. Step 6: Final answer
    x = 266,151.44

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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.