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Finding the Third Proportional to 174,666 and 263,659

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Solution

The third proportional to 174,666 and 263,659 is: 397,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,666 : 263,659 = 263,659 : x
  2. Step 2: Convert to fraction form
    174,666/263,659 = 263,659/x
  3. Step 3: Cross multiply
    174,666x = 263,659 × 263,659
  4. Step 4: Simplify right side
    174,666x = 69,516,068,281
  5. Step 5: Solve for x
    x = 69,516,068,281/174,666
  6. Step 6: Final answer
    x = 397,994.28

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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.