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Finding the Third Proportional to 173,686 and 260,074

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Solution

The third proportional to 173,686 and 260,074 is: 389,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,686 : 260,074 = 260,074 : x
  2. Step 2: Convert to fraction form
    173,686/260,074 = 260,074/x
  3. Step 3: Cross multiply
    173,686x = 260,074 × 260,074
  4. Step 4: Simplify right side
    173,686x = 67,638,485,476
  5. Step 5: Solve for x
    x = 67,638,485,476/173,686
  6. Step 6: Final answer
    x = 389,429.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.