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Finding the Third Proportional to 174,928 and 270,119

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Solution

The third proportional to 174,928 and 270,119 is: 417,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,928 : 270,119 = 270,119 : x
  2. Step 2: Convert to fraction form
    174,928/270,119 = 270,119/x
  3. Step 3: Cross multiply
    174,928x = 270,119 × 270,119
  4. Step 4: Simplify right side
    174,928x = 72,964,274,161
  5. Step 5: Solve for x
    x = 72,964,274,161/174,928
  6. Step 6: Final answer
    x = 417,110.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.