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Finding the Third Proportional to 192,054.48 and 420,698.50

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Solution

The third proportional to 192,054.48 and 420,698.50 is: 921,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,054.48 : 420,698.50 = 420,698.50 : x
  2. Step 2: Convert to fraction form
    192,054.48/420,698.50 = 420,698.50/x
  3. Step 3: Cross multiply
    192,054.48x = 420,698.50 × 420,698.50
  4. Step 4: Simplify right side
    192,054.48x = 176,987,224,615.54
  5. Step 5: Solve for x
    x = 176,987,224,615.54/192,054.48
  6. Step 6: Final answer
    x = 921,546.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.