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Finding the Third Proportional to 152,619 and 319,178

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Solution

The third proportional to 152,619 and 319,178 is: 667,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,619 : 319,178 = 319,178 : x
  2. Step 2: Convert to fraction form
    152,619/319,178 = 319,178/x
  3. Step 3: Cross multiply
    152,619x = 319,178 × 319,178
  4. Step 4: Simplify right side
    152,619x = 101,874,595,684
  5. Step 5: Solve for x
    x = 101,874,595,684/152,619
  6. Step 6: Final answer
    x = 667,509.26

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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.