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Finding the Third Proportional to 214,318 and 293,889

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Solution

The third proportional to 214,318 and 293,889 is: 403,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,318 : 293,889 = 293,889 : x
  2. Step 2: Convert to fraction form
    214,318/293,889 = 293,889/x
  3. Step 3: Cross multiply
    214,318x = 293,889 × 293,889
  4. Step 4: Simplify right side
    214,318x = 86,370,744,321
  5. Step 5: Solve for x
    x = 86,370,744,321/214,318
  6. Step 6: Final answer
    x = 403,002.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.