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Finding the Third Proportional to 254,018 and 345,994

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Solution

The third proportional to 254,018 and 345,994 is: 471,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,018 : 345,994 = 345,994 : x
  2. Step 2: Convert to fraction form
    254,018/345,994 = 345,994/x
  3. Step 3: Cross multiply
    254,018x = 345,994 × 345,994
  4. Step 4: Simplify right side
    254,018x = 119,711,848,036
  5. Step 5: Solve for x
    x = 119,711,848,036/254,018
  6. Step 6: Final answer
    x = 471,273.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.