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Finding the Third Proportional to 274,347 and 364,122

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Solution

The third proportional to 274,347 and 364,122 is: 483,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,347 : 364,122 = 364,122 : x
  2. Step 2: Convert to fraction form
    274,347/364,122 = 364,122/x
  3. Step 3: Cross multiply
    274,347x = 364,122 × 364,122
  4. Step 4: Simplify right side
    274,347x = 132,584,830,884
  5. Step 5: Solve for x
    x = 132,584,830,884/274,347
  6. Step 6: Final answer
    x = 483,274.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.