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Finding the Third Proportional to 150,920 and 204,236

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Solution

The third proportional to 150,920 and 204,236 is: 276,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,920 : 204,236 = 204,236 : x
  2. Step 2: Convert to fraction form
    150,920/204,236 = 204,236/x
  3. Step 3: Cross multiply
    150,920x = 204,236 × 204,236
  4. Step 4: Simplify right side
    150,920x = 41,712,343,696
  5. Step 5: Solve for x
    x = 41,712,343,696/150,920
  6. Step 6: Final answer
    x = 276,387.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.