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Finding the Third Proportional to 74,498.25 and 163,168.13

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Solution

The third proportional to 74,498.25 and 163,168.13 is: 357,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,498.25 : 163,168.13 = 163,168.13 : x
  2. Step 2: Convert to fraction form
    74,498.25/163,168.13 = 163,168.13/x
  3. Step 3: Cross multiply
    74,498.25x = 163,168.13 × 163,168.13
  4. Step 4: Simplify right side
    74,498.25x = 26,623,837,016.02
  5. Step 5: Solve for x
    x = 26,623,837,016.02/74,498.25
  6. Step 6: Final answer
    x = 357,375.33

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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.