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Finding the Third Proportional to 214,077 and 333,369

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Solution

The third proportional to 214,077 and 333,369 is: 519,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,077 : 333,369 = 333,369 : x
  2. Step 2: Convert to fraction form
    214,077/333,369 = 333,369/x
  3. Step 3: Cross multiply
    214,077x = 333,369 × 333,369
  4. Step 4: Simplify right side
    214,077x = 111,134,890,161
  5. Step 5: Solve for x
    x = 111,134,890,161/214,077
  6. Step 6: Final answer
    x = 519,135.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.