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Finding the Third Proportional to 176,615.44 and 368,175.38

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Solution

The third proportional to 176,615.44 and 368,175.38 is: 767,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,615.44 : 368,175.38 = 368,175.38 : x
  2. Step 2: Convert to fraction form
    176,615.44/368,175.38 = 368,175.38/x
  3. Step 3: Cross multiply
    176,615.44x = 368,175.38 × 368,175.38
  4. Step 4: Simplify right side
    176,615.44x = 135,553,106,756.39
  5. Step 5: Solve for x
    x = 135,553,106,756.39/176,615.44
  6. Step 6: Final answer
    x = 767,504.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.