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Finding the Third Proportional to 214,302 and 291,889

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Solution

The third proportional to 214,302 and 291,889 is: 397,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,302 : 291,889 = 291,889 : x
  2. Step 2: Convert to fraction form
    214,302/291,889 = 291,889/x
  3. Step 3: Cross multiply
    214,302x = 291,889 × 291,889
  4. Step 4: Simplify right side
    214,302x = 85,199,188,321
  5. Step 5: Solve for x
    x = 85,199,188,321/214,302
  6. Step 6: Final answer
    x = 397,566.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.