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Finding the Third Proportional to 146,017.69 and 313,849.69

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Solution

The third proportional to 146,017.69 and 313,849.69 is: 674,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,017.69 : 313,849.69 = 313,849.69 : x
  2. Step 2: Convert to fraction form
    146,017.69/313,849.69 = 313,849.69/x
  3. Step 3: Cross multiply
    146,017.69x = 313,849.69 × 313,849.69
  4. Step 4: Simplify right side
    146,017.69x = 98,501,626,343.85
  5. Step 5: Solve for x
    x = 98,501,626,343.85/146,017.69
  6. Step 6: Final answer
    x = 674,586.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.