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Finding the Third Proportional to 95,235 and 207,402

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Solution

The third proportional to 95,235 and 207,402 is: 451,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,235 : 207,402 = 207,402 : x
  2. Step 2: Convert to fraction form
    95,235/207,402 = 207,402/x
  3. Step 3: Cross multiply
    95,235x = 207,402 × 207,402
  4. Step 4: Simplify right side
    95,235x = 43,015,589,604
  5. Step 5: Solve for x
    x = 43,015,589,604/95,235
  6. Step 6: Final answer
    x = 451,678.37

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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.