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Finding the Third Proportional to 174,620 and 377,063

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Solution

The third proportional to 174,620 and 377,063 is: 814,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,620 : 377,063 = 377,063 : x
  2. Step 2: Convert to fraction form
    174,620/377,063 = 377,063/x
  3. Step 3: Cross multiply
    174,620x = 377,063 × 377,063
  4. Step 4: Simplify right side
    174,620x = 142,176,505,969
  5. Step 5: Solve for x
    x = 142,176,505,969/174,620
  6. Step 6: Final answer
    x = 814,205.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.