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Finding the Third Proportional to 213,761 and 338,467

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Solution

The third proportional to 213,761 and 338,467 is: 535,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,761 : 338,467 = 338,467 : x
  2. Step 2: Convert to fraction form
    213,761/338,467 = 338,467/x
  3. Step 3: Cross multiply
    213,761x = 338,467 × 338,467
  4. Step 4: Simplify right side
    213,761x = 114,559,910,089
  5. Step 5: Solve for x
    x = 114,559,910,089/213,761
  6. Step 6: Final answer
    x = 535,925.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.