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Finding the Third Proportional to 95,402 and 208,948

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Solution

The third proportional to 95,402 and 208,948 is: 457,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,402 : 208,948 = 208,948 : x
  2. Step 2: Convert to fraction form
    95,402/208,948 = 208,948/x
  3. Step 3: Cross multiply
    95,402x = 208,948 × 208,948
  4. Step 4: Simplify right side
    95,402x = 43,659,266,704
  5. Step 5: Solve for x
    x = 43,659,266,704/95,402
  6. Step 6: Final answer
    x = 457,634.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.