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Finding the Third Proportional to 213,474 and 334,860

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Solution

The third proportional to 213,474 and 334,860 is: 525,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,474 : 334,860 = 334,860 : x
  2. Step 2: Convert to fraction form
    213,474/334,860 = 334,860/x
  3. Step 3: Cross multiply
    213,474x = 334,860 × 334,860
  4. Step 4: Simplify right side
    213,474x = 112,131,219,600
  5. Step 5: Solve for x
    x = 112,131,219,600/213,474
  6. Step 6: Final answer
    x = 525,268.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.