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Finding the Third Proportional to 241,512.75 and 354,879

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Solution

The third proportional to 241,512.75 and 354,879 is: 521,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,512.75 : 354,879 = 354,879 : x
  2. Step 2: Convert to fraction form
    241,512.75/354,879 = 354,879/x
  3. Step 3: Cross multiply
    241,512.75x = 354,879 × 354,879
  4. Step 4: Simplify right side
    241,512.75x = 125,939,104,641
  5. Step 5: Solve for x
    x = 125,939,104,641/241,512.75
  6. Step 6: Final answer
    x = 521,459.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.