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Finding the Third Proportional to 206,534 and 305,963

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Solution

The third proportional to 206,534 and 305,963 is: 453,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,534 : 305,963 = 305,963 : x
  2. Step 2: Convert to fraction form
    206,534/305,963 = 305,963/x
  3. Step 3: Cross multiply
    206,534x = 305,963 × 305,963
  4. Step 4: Simplify right side
    206,534x = 93,613,357,369
  5. Step 5: Solve for x
    x = 93,613,357,369/206,534
  6. Step 6: Final answer
    x = 453,258.82

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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.