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Finding the Third Proportional to 190,722.94 and 233,369.44

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Solution

The third proportional to 190,722.94 and 233,369.44 is: 285,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,722.94 : 233,369.44 = 233,369.44 : x
  2. Step 2: Convert to fraction form
    190,722.94/233,369.44 = 233,369.44/x
  3. Step 3: Cross multiply
    190,722.94x = 233,369.44 × 233,369.44
  4. Step 4: Simplify right side
    190,722.94x = 54,461,294,359.07
  5. Step 5: Solve for x
    x = 54,461,294,359.07/190,722.94
  6. Step 6: Final answer
    x = 285,551.89

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.