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Finding the Third Proportional to 198,637.97 and 434,412.47

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Solution

The third proportional to 198,637.97 and 434,412.47 is: 950,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,637.97 : 434,412.47 = 434,412.47 : x
  2. Step 2: Convert to fraction form
    198,637.97/434,412.47 = 434,412.47/x
  3. Step 3: Cross multiply
    198,637.97x = 434,412.47 × 434,412.47
  4. Step 4: Simplify right side
    198,637.97x = 188,714,193,005.47
  5. Step 5: Solve for x
    x = 188,714,193,005.47/198,637.97
  6. Step 6: Final answer
    x = 950,040.89

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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.