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Finding the Third Proportional to 174,966 and 264,879

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Solution

The third proportional to 174,966 and 264,879 is: 400,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,966 : 264,879 = 264,879 : x
  2. Step 2: Convert to fraction form
    174,966/264,879 = 264,879/x
  3. Step 3: Cross multiply
    174,966x = 264,879 × 264,879
  4. Step 4: Simplify right side
    174,966x = 70,160,884,641
  5. Step 5: Solve for x
    x = 70,160,884,641/174,966
  6. Step 6: Final answer
    x = 400,997.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.