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Finding the Third Proportional to 174,720 and 379,104

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Solution

The third proportional to 174,720 and 379,104 is: 822,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,720 : 379,104 = 379,104 : x
  2. Step 2: Convert to fraction form
    174,720/379,104 = 379,104/x
  3. Step 3: Cross multiply
    174,720x = 379,104 × 379,104
  4. Step 4: Simplify right side
    174,720x = 143,719,842,816
  5. Step 5: Solve for x
    x = 143,719,842,816/174,720
  6. Step 6: Final answer
    x = 822,572.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.