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Finding the Third Proportional to 206,532 and 305,960

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Solution

The third proportional to 206,532 and 305,960 is: 453,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,532 : 305,960 = 305,960 : x
  2. Step 2: Convert to fraction form
    206,532/305,960 = 305,960/x
  3. Step 3: Cross multiply
    206,532x = 305,960 × 305,960
  4. Step 4: Simplify right side
    206,532x = 93,611,521,600
  5. Step 5: Solve for x
    x = 93,611,521,600/206,532
  6. Step 6: Final answer
    x = 453,254.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.