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Finding the Third Proportional to 151,794.75 and 241,259.63

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Solution

The third proportional to 151,794.75 and 241,259.63 is: 383,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,794.75 : 241,259.63 = 241,259.63 : x
  2. Step 2: Convert to fraction form
    151,794.75/241,259.63 = 241,259.63/x
  3. Step 3: Cross multiply
    151,794.75x = 241,259.63 × 241,259.63
  4. Step 4: Simplify right side
    151,794.75x = 58,206,206,655.14
  5. Step 5: Solve for x
    x = 58,206,206,655.14/151,794.75
  6. Step 6: Final answer
    x = 383,453.36

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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.