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Finding the Third Proportional to 174,616 and 377,055

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Solution

The third proportional to 174,616 and 377,055 is: 814,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,616 : 377,055 = 377,055 : x
  2. Step 2: Convert to fraction form
    174,616/377,055 = 377,055/x
  3. Step 3: Cross multiply
    174,616x = 377,055 × 377,055
  4. Step 4: Simplify right side
    174,616x = 142,170,473,025
  5. Step 5: Solve for x
    x = 142,170,473,025/174,616
  6. Step 6: Final answer
    x = 814,189.27

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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.