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Finding the Third Proportional to 214,609.50 and 291,458.25

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Solution

The third proportional to 214,609.50 and 291,458.25 is: 395,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,609.50 : 291,458.25 = 291,458.25 : x
  2. Step 2: Convert to fraction form
    214,609.50/291,458.25 = 291,458.25/x
  3. Step 3: Cross multiply
    214,609.50x = 291,458.25 × 291,458.25
  4. Step 4: Simplify right side
    214,609.50x = 84,947,911,493.06
  5. Step 5: Solve for x
    x = 84,947,911,493.06/214,609.50
  6. Step 6: Final answer
    x = 395,825.49

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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.