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Finding the Third Proportional to 157,879.83 and 241,555.78

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Solution

The third proportional to 157,879.83 and 241,555.78 is: 369,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,879.83 : 241,555.78 = 241,555.78 : x
  2. Step 2: Convert to fraction form
    157,879.83/241,555.78 = 241,555.78/x
  3. Step 3: Cross multiply
    157,879.83x = 241,555.78 × 241,555.78
  4. Step 4: Simplify right side
    157,879.83x = 58,349,195,455.30
  5. Step 5: Solve for x
    x = 58,349,195,455.30/157,879.83
  6. Step 6: Final answer
    x = 369,579.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.