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Finding the Third Proportional to 241,872 and 378,013.50

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Solution

The third proportional to 241,872 and 378,013.50 is: 590,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,872 : 378,013.50 = 378,013.50 : x
  2. Step 2: Convert to fraction form
    241,872/378,013.50 = 378,013.50/x
  3. Step 3: Cross multiply
    241,872x = 378,013.50 × 378,013.50
  4. Step 4: Simplify right side
    241,872x = 142,894,206,182.25
  5. Step 5: Solve for x
    x = 142,894,206,182.25/241,872
  6. Step 6: Final answer
    x = 590,784.41

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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.