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Finding the Third Proportional to 174,976 and 384,928

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Solution

The third proportional to 174,976 and 384,928 is: 846,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,976 : 384,928 = 384,928 : x
  2. Step 2: Convert to fraction form
    174,976/384,928 = 384,928/x
  3. Step 3: Cross multiply
    174,976x = 384,928 × 384,928
  4. Step 4: Simplify right side
    174,976x = 148,169,565,184
  5. Step 5: Solve for x
    x = 148,169,565,184/174,976
  6. Step 6: Final answer
    x = 846,799.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.