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Finding the Third Proportional to 241,911.56 and 384,251.06

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Solution

The third proportional to 241,911.56 and 384,251.06 is: 610,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,911.56 : 384,251.06 = 384,251.06 : x
  2. Step 2: Convert to fraction form
    241,911.56/384,251.06 = 384,251.06/x
  3. Step 3: Cross multiply
    241,911.56x = 384,251.06 × 384,251.06
  4. Step 4: Simplify right side
    241,911.56x = 147,648,879,032.38
  5. Step 5: Solve for x
    x = 147,648,879,032.38/241,911.56
  6. Step 6: Final answer
    x = 610,342.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.