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Finding the Third Proportional to 150,024 and 319,164

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Solution

The third proportional to 150,024 and 319,164 is: 678,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,024 : 319,164 = 319,164 : x
  2. Step 2: Convert to fraction form
    150,024/319,164 = 319,164/x
  3. Step 3: Cross multiply
    150,024x = 319,164 × 319,164
  4. Step 4: Simplify right side
    150,024x = 101,865,658,896
  5. Step 5: Solve for x
    x = 101,865,658,896/150,024
  6. Step 6: Final answer
    x = 678,995.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.