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Finding the Third Proportional to 170,454 and 255,573

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Solution

The third proportional to 170,454 and 255,573 is: 383,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,454 : 255,573 = 255,573 : x
  2. Step 2: Convert to fraction form
    170,454/255,573 = 255,573/x
  3. Step 3: Cross multiply
    170,454x = 255,573 × 255,573
  4. Step 4: Simplify right side
    170,454x = 65,317,558,329
  5. Step 5: Solve for x
    x = 65,317,558,329/170,454
  6. Step 6: Final answer
    x = 383,197.57

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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.