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Finding the Third Proportional to 190,918.69 and 377,020.41

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Solution

The third proportional to 190,918.69 and 377,020.41 is: 744,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,918.69 : 377,020.41 = 377,020.41 : x
  2. Step 2: Convert to fraction form
    190,918.69/377,020.41 = 377,020.41/x
  3. Step 3: Cross multiply
    190,918.69x = 377,020.41 × 377,020.41
  4. Step 4: Simplify right side
    190,918.69x = 142,144,386,728.92
  5. Step 5: Solve for x
    x = 142,144,386,728.92/190,918.69
  6. Step 6: Final answer
    x = 744,528.41

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.