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Finding the Third Proportional to 183,318.19 and 383,378.06

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Solution

The third proportional to 183,318.19 and 383,378.06 is: 801,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,318.19 : 383,378.06 = 383,378.06 : x
  2. Step 2: Convert to fraction form
    183,318.19/383,378.06 = 383,378.06/x
  3. Step 3: Cross multiply
    183,318.19x = 383,378.06 × 383,378.06
  4. Step 4: Simplify right side
    183,318.19x = 146,978,738,806.25
  5. Step 5: Solve for x
    x = 146,978,738,806.25/183,318.19
  6. Step 6: Final answer
    x = 801,768.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.