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Finding the Third Proportional to 214,062.75 and 333,350.25

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Solution

The third proportional to 214,062.75 and 333,350.25 is: 519,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,062.75 : 333,350.25 = 333,350.25 : x
  2. Step 2: Convert to fraction form
    214,062.75/333,350.25 = 333,350.25/x
  3. Step 3: Cross multiply
    214,062.75x = 333,350.25 × 333,350.25
  4. Step 4: Simplify right side
    214,062.75x = 111,122,389,175.06
  5. Step 5: Solve for x
    x = 111,122,389,175.06/214,062.75
  6. Step 6: Final answer
    x = 519,111.28

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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.