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Finding the Third Proportional to 213,458 and 334,839

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Solution

The third proportional to 213,458 and 334,839 is: 525,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,458 : 334,839 = 334,839 : x
  2. Step 2: Convert to fraction form
    213,458/334,839 = 334,839/x
  3. Step 3: Cross multiply
    213,458x = 334,839 × 334,839
  4. Step 4: Simplify right side
    213,458x = 112,117,155,921
  5. Step 5: Solve for x
    x = 112,117,155,921/213,458
  6. Step 6: Final answer
    x = 525,242.23

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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.