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Finding the Third Proportional to 206,554 and 305,984

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Solution

The third proportional to 206,554 and 305,984 is: 453,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,554 : 305,984 = 305,984 : x
  2. Step 2: Convert to fraction form
    206,554/305,984 = 305,984/x
  3. Step 3: Cross multiply
    206,554x = 305,984 × 305,984
  4. Step 4: Simplify right side
    206,554x = 93,626,208,256
  5. Step 5: Solve for x
    x = 93,626,208,256/206,554
  6. Step 6: Final answer
    x = 453,277.15

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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.