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Finding the Third Proportional to 95,758 and 208,297

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Solution

The third proportional to 95,758 and 208,297 is: 453,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,758 : 208,297 = 208,297 : x
  2. Step 2: Convert to fraction form
    95,758/208,297 = 208,297/x
  3. Step 3: Cross multiply
    95,758x = 208,297 × 208,297
  4. Step 4: Simplify right side
    95,758x = 43,387,640,209
  5. Step 5: Solve for x
    x = 43,387,640,209/95,758
  6. Step 6: Final answer
    x = 453,096.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.