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Finding the Third Proportional to 174,170 and 260,578

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Solution

The third proportional to 174,170 and 260,578 is: 389,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,170 : 260,578 = 260,578 : x
  2. Step 2: Convert to fraction form
    174,170/260,578 = 260,578/x
  3. Step 3: Cross multiply
    174,170x = 260,578 × 260,578
  4. Step 4: Simplify right side
    174,170x = 67,900,894,084
  5. Step 5: Solve for x
    x = 67,900,894,084/174,170
  6. Step 6: Final answer
    x = 389,854.13

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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.