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Finding the Third Proportional to 259,945.45 and 347,698.83

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Solution

The third proportional to 259,945.45 and 347,698.83 is: 465,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,945.45 : 347,698.83 = 347,698.83 : x
  2. Step 2: Convert to fraction form
    259,945.45/347,698.83 = 347,698.83/x
  3. Step 3: Cross multiply
    259,945.45x = 347,698.83 × 347,698.83
  4. Step 4: Simplify right side
    259,945.45x = 120,894,475,079.50
  5. Step 5: Solve for x
    x = 120,894,475,079.50/259,945.45
  6. Step 6: Final answer
    x = 465,076.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.