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Finding the Third Proportional to 159,437 and 349,975

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Solution

The third proportional to 159,437 and 349,975 is: 768,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,437 : 349,975 = 349,975 : x
  2. Step 2: Convert to fraction form
    159,437/349,975 = 349,975/x
  3. Step 3: Cross multiply
    159,437x = 349,975 × 349,975
  4. Step 4: Simplify right side
    159,437x = 122,482,500,625
  5. Step 5: Solve for x
    x = 122,482,500,625/159,437
  6. Step 6: Final answer
    x = 768,218.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.