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Finding the Third Proportional to 319,311.75 and 532,164

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Solution

The third proportional to 319,311.75 and 532,164 is: 886,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,311.75 : 532,164 = 532,164 : x
  2. Step 2: Convert to fraction form
    319,311.75/532,164 = 532,164/x
  3. Step 3: Cross multiply
    319,311.75x = 532,164 × 532,164
  4. Step 4: Simplify right side
    319,311.75x = 283,198,522,896
  5. Step 5: Solve for x
    x = 283,198,522,896/319,311.75
  6. Step 6: Final answer
    x = 886,902.92

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.