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Finding the Third Proportional to 241,261.50 and 515,654.25

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Solution

The third proportional to 241,261.50 and 515,654.25 is: 1,102,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,261.50 : 515,654.25 = 515,654.25 : x
  2. Step 2: Convert to fraction form
    241,261.50/515,654.25 = 515,654.25/x
  3. Step 3: Cross multiply
    241,261.50x = 515,654.25 × 515,654.25
  4. Step 4: Simplify right side
    241,261.50x = 265,899,305,543.06
  5. Step 5: Solve for x
    x = 265,899,305,543.06/241,261.50
  6. Step 6: Final answer
    x = 1,102,120.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.