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Finding the Third Proportional to 170,236 and 254,920

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Solution

The third proportional to 170,236 and 254,920 is: 381,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,236 : 254,920 = 254,920 : x
  2. Step 2: Convert to fraction form
    170,236/254,920 = 254,920/x
  3. Step 3: Cross multiply
    170,236x = 254,920 × 254,920
  4. Step 4: Simplify right side
    170,236x = 64,984,206,400
  5. Step 5: Solve for x
    x = 64,984,206,400/170,236
  6. Step 6: Final answer
    x = 381,730.11

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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.