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Finding the Third Proportional to 213,762 and 338,469

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Solution

The third proportional to 213,762 and 338,469 is: 535,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,762 : 338,469 = 338,469 : x
  2. Step 2: Convert to fraction form
    213,762/338,469 = 338,469/x
  3. Step 3: Cross multiply
    213,762x = 338,469 × 338,469
  4. Step 4: Simplify right side
    213,762x = 114,561,263,961
  5. Step 5: Solve for x
    x = 114,561,263,961/213,762
  6. Step 6: Final answer
    x = 535,929.04

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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.