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Finding the Third Proportional to 214,084 and 333,381

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Solution

The third proportional to 214,084 and 333,381 is: 519,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,084 : 333,381 = 333,381 : x
  2. Step 2: Convert to fraction form
    214,084/333,381 = 333,381/x
  3. Step 3: Cross multiply
    214,084x = 333,381 × 333,381
  4. Step 4: Simplify right side
    214,084x = 111,142,891,161
  5. Step 5: Solve for x
    x = 111,142,891,161/214,084
  6. Step 6: Final answer
    x = 519,155.52

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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.