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Finding the Third Proportional to 174,937.69 and 368,552.06

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Solution

The third proportional to 174,937.69 and 368,552.06 is: 776,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,937.69 : 368,552.06 = 368,552.06 : x
  2. Step 2: Convert to fraction form
    174,937.69/368,552.06 = 368,552.06/x
  3. Step 3: Cross multiply
    174,937.69x = 368,552.06 × 368,552.06
  4. Step 4: Simplify right side
    174,937.69x = 135,830,622,773.00
  5. Step 5: Solve for x
    x = 135,830,622,773.00/174,937.69
  6. Step 6: Final answer
    x = 776,451.46

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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.