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Finding the Third Proportional to 152,560 and 319,063

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Solution

The third proportional to 152,560 and 319,063 is: 667,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,560 : 319,063 = 319,063 : x
  2. Step 2: Convert to fraction form
    152,560/319,063 = 319,063/x
  3. Step 3: Cross multiply
    152,560x = 319,063 × 319,063
  4. Step 4: Simplify right side
    152,560x = 101,801,197,969
  5. Step 5: Solve for x
    x = 101,801,197,969/152,560
  6. Step 6: Final answer
    x = 667,286.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.