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Finding the Third Proportional to 159,302 and 243,975

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Solution

The third proportional to 159,302 and 243,975 is: 373,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,302 : 243,975 = 243,975 : x
  2. Step 2: Convert to fraction form
    159,302/243,975 = 243,975/x
  3. Step 3: Cross multiply
    159,302x = 243,975 × 243,975
  4. Step 4: Simplify right side
    159,302x = 59,523,800,625
  5. Step 5: Solve for x
    x = 59,523,800,625/159,302
  6. Step 6: Final answer
    x = 373,653.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.