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Finding the Third Proportional to 214,741.50 and 283,934.25

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Solution

The third proportional to 214,741.50 and 283,934.25 is: 375,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,741.50 : 283,934.25 = 283,934.25 : x
  2. Step 2: Convert to fraction form
    214,741.50/283,934.25 = 283,934.25/x
  3. Step 3: Cross multiply
    214,741.50x = 283,934.25 × 283,934.25
  4. Step 4: Simplify right side
    214,741.50x = 80,618,658,323.06
  5. Step 5: Solve for x
    x = 80,618,658,323.06/214,741.50
  6. Step 6: Final answer
    x = 375,421.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.