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Finding the Third Proportional to 319,164 and 485,378

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Solution

The third proportional to 319,164 and 485,378 is: 738,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,164 : 485,378 = 485,378 : x
  2. Step 2: Convert to fraction form
    319,164/485,378 = 485,378/x
  3. Step 3: Cross multiply
    319,164x = 485,378 × 485,378
  4. Step 4: Simplify right side
    319,164x = 235,591,802,884
  5. Step 5: Solve for x
    x = 235,591,802,884/319,164
  6. Step 6: Final answer
    x = 738,152.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.