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Finding the Third Proportional to 174,961.69 and 368,604

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Solution

The third proportional to 174,961.69 and 368,604 is: 776,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,961.69 : 368,604 = 368,604 : x
  2. Step 2: Convert to fraction form
    174,961.69/368,604 = 368,604/x
  3. Step 3: Cross multiply
    174,961.69x = 368,604 × 368,604
  4. Step 4: Simplify right side
    174,961.69x = 135,868,908,816
  5. Step 5: Solve for x
    x = 135,868,908,816/174,961.69
  6. Step 6: Final answer
    x = 776,563.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.