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Finding the Third Proportional to 152,576 and 319,104

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Solution

The third proportional to 152,576 and 319,104 is: 667,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,576 : 319,104 = 319,104 : x
  2. Step 2: Convert to fraction form
    152,576/319,104 = 319,104/x
  3. Step 3: Cross multiply
    152,576x = 319,104 × 319,104
  4. Step 4: Simplify right side
    152,576x = 101,827,362,816
  5. Step 5: Solve for x
    x = 101,827,362,816/152,576
  6. Step 6: Final answer
    x = 667,387.81

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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.