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Finding the Third Proportional to 159,360.75 and 347,699.25

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Solution

The third proportional to 159,360.75 and 347,699.25 is: 758,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,360.75 : 347,699.25 = 347,699.25 : x
  2. Step 2: Convert to fraction form
    159,360.75/347,699.25 = 347,699.25/x
  3. Step 3: Cross multiply
    159,360.75x = 347,699.25 × 347,699.25
  4. Step 4: Simplify right side
    159,360.75x = 120,894,768,450.56
  5. Step 5: Solve for x
    x = 120,894,768,450.56/159,360.75
  6. Step 6: Final answer
    x = 758,623.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.