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Finding the Third Proportional to 95,284 and 202,898

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Solution

The third proportional to 95,284 and 202,898 is: 432,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,284 : 202,898 = 202,898 : x
  2. Step 2: Convert to fraction form
    95,284/202,898 = 202,898/x
  3. Step 3: Cross multiply
    95,284x = 202,898 × 202,898
  4. Step 4: Simplify right side
    95,284x = 41,167,598,404
  5. Step 5: Solve for x
    x = 41,167,598,404/95,284
  6. Step 6: Final answer
    x = 432,051.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.