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Finding the Third Proportional to 174,974 and 368,623

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Solution

The third proportional to 174,974 and 368,623 is: 776,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,974 : 368,623 = 368,623 : x
  2. Step 2: Convert to fraction form
    174,974/368,623 = 368,623/x
  3. Step 3: Cross multiply
    174,974x = 368,623 × 368,623
  4. Step 4: Simplify right side
    174,974x = 135,882,916,129
  5. Step 5: Solve for x
    x = 135,882,916,129/174,974
  6. Step 6: Final answer
    x = 776,589.19

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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.