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Finding the Third Proportional to 241,878 and 378,022.50

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Solution

The third proportional to 241,878 and 378,022.50 is: 590,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,878 : 378,022.50 = 378,022.50 : x
  2. Step 2: Convert to fraction form
    241,878/378,022.50 = 378,022.50/x
  3. Step 3: Cross multiply
    241,878x = 378,022.50 × 378,022.50
  4. Step 4: Simplify right side
    241,878x = 142,901,010,506.25
  5. Step 5: Solve for x
    x = 142,901,010,506.25/241,878
  6. Step 6: Final answer
    x = 590,797.88

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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.