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Finding the Third Proportional to 234,972 and 357,975

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Solution

The third proportional to 234,972 and 357,975 is: 545,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,972 : 357,975 = 357,975 : x
  2. Step 2: Convert to fraction form
    234,972/357,975 = 357,975/x
  3. Step 3: Cross multiply
    234,972x = 357,975 × 357,975
  4. Step 4: Simplify right side
    234,972x = 128,146,100,625
  5. Step 5: Solve for x
    x = 128,146,100,625/234,972
  6. Step 6: Final answer
    x = 545,367.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.