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Finding the Third Proportional to 214,083 and 333,378

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Solution

The third proportional to 214,083 and 333,378 is: 519,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,083 : 333,378 = 333,378 : x
  2. Step 2: Convert to fraction form
    214,083/333,378 = 333,378/x
  3. Step 3: Cross multiply
    214,083x = 333,378 × 333,378
  4. Step 4: Simplify right side
    214,083x = 111,140,890,884
  5. Step 5: Solve for x
    x = 111,140,890,884/214,083
  6. Step 6: Final answer
    x = 519,148.61

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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.