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Finding the Third Proportional to 174,716 and 377,994

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Solution

The third proportional to 174,716 and 377,994 is: 817,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,716 : 377,994 = 377,994 : x
  2. Step 2: Convert to fraction form
    174,716/377,994 = 377,994/x
  3. Step 3: Cross multiply
    174,716x = 377,994 × 377,994
  4. Step 4: Simplify right side
    174,716x = 142,879,464,036
  5. Step 5: Solve for x
    x = 142,879,464,036/174,716
  6. Step 6: Final answer
    x = 817,781.22

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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.