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Finding the Third Proportional to 190,764 and 282,888

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Solution

The third proportional to 190,764 and 282,888 is: 419,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,764 : 282,888 = 282,888 : x
  2. Step 2: Convert to fraction form
    190,764/282,888 = 282,888/x
  3. Step 3: Cross multiply
    190,764x = 282,888 × 282,888
  4. Step 4: Simplify right side
    190,764x = 80,025,620,544
  5. Step 5: Solve for x
    x = 80,025,620,544/190,764
  6. Step 6: Final answer
    x = 419,500.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.