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Finding the Third Proportional to 213,464 and 334,846

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Solution

The third proportional to 213,464 and 334,846 is: 525,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,464 : 334,846 = 334,846 : x
  2. Step 2: Convert to fraction form
    213,464/334,846 = 334,846/x
  3. Step 3: Cross multiply
    213,464x = 334,846 × 334,846
  4. Step 4: Simplify right side
    213,464x = 112,121,843,716
  5. Step 5: Solve for x
    x = 112,121,843,716/213,464
  6. Step 6: Final answer
    x = 525,249.43

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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.