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Finding the Third Proportional to 228,314 and 364,611

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Solution

The third proportional to 228,314 and 364,611 is: 582,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,314 : 364,611 = 364,611 : x
  2. Step 2: Convert to fraction form
    228,314/364,611 = 364,611/x
  3. Step 3: Cross multiply
    228,314x = 364,611 × 364,611
  4. Step 4: Simplify right side
    228,314x = 132,941,181,321
  5. Step 5: Solve for x
    x = 132,941,181,321/228,314
  6. Step 6: Final answer
    x = 582,273.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.