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Finding the Third Proportional to 176,894.44 and 388,540.13

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Solution

The third proportional to 176,894.44 and 388,540.13 is: 853,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,894.44 : 388,540.13 = 388,540.13 : x
  2. Step 2: Convert to fraction form
    176,894.44/388,540.13 = 388,540.13/x
  3. Step 3: Cross multiply
    176,894.44x = 388,540.13 × 388,540.13
  4. Step 4: Simplify right side
    176,894.44x = 150,963,428,735.02
  5. Step 5: Solve for x
    x = 150,963,428,735.02/176,894.44
  6. Step 6: Final answer
    x = 853,409.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.