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Finding the Third Proportional to 214,262 and 338,992

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Solution

The third proportional to 214,262 and 338,992 is: 536,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,262 : 338,992 = 338,992 : x
  2. Step 2: Convert to fraction form
    214,262/338,992 = 338,992/x
  3. Step 3: Cross multiply
    214,262x = 338,992 × 338,992
  4. Step 4: Simplify right side
    214,262x = 114,915,576,064
  5. Step 5: Solve for x
    x = 114,915,576,064/214,262
  6. Step 6: Final answer
    x = 536,332.04

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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.