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Finding the Third Proportional to 192,048 and 290,725.50

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Solution

The third proportional to 192,048 and 290,725.50 is: 440,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,048 : 290,725.50 = 290,725.50 : x
  2. Step 2: Convert to fraction form
    192,048/290,725.50 = 290,725.50/x
  3. Step 3: Cross multiply
    192,048x = 290,725.50 × 290,725.50
  4. Step 4: Simplify right side
    192,048x = 84,521,316,350.25
  5. Step 5: Solve for x
    x = 84,521,316,350.25/192,048
  6. Step 6: Final answer
    x = 440,105.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.