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Finding the Third Proportional to 190,920.75 and 377,022

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Solution

The third proportional to 190,920.75 and 377,022 is: 744,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,920.75 : 377,022 = 377,022 : x
  2. Step 2: Convert to fraction form
    190,920.75/377,022 = 377,022/x
  3. Step 3: Cross multiply
    190,920.75x = 377,022 × 377,022
  4. Step 4: Simplify right side
    190,920.75x = 142,145,588,484
  5. Step 5: Solve for x
    x = 142,145,588,484/190,920.75
  6. Step 6: Final answer
    x = 744,526.66

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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.