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Finding the Third Proportional to 95,297 and 203,710

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Solution

The third proportional to 95,297 and 203,710 is: 435,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,297 : 203,710 = 203,710 : x
  2. Step 2: Convert to fraction form
    95,297/203,710 = 203,710/x
  3. Step 3: Cross multiply
    95,297x = 203,710 × 203,710
  4. Step 4: Simplify right side
    95,297x = 41,497,764,100
  5. Step 5: Solve for x
    x = 41,497,764,100/95,297
  6. Step 6: Final answer
    x = 435,457.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.