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Finding the Third Proportional to 74,208.23 and 175,003.66

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Solution

The third proportional to 74,208.23 and 175,003.66 is: 412,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,208.23 : 175,003.66 = 175,003.66 : x
  2. Step 2: Convert to fraction form
    74,208.23/175,003.66 = 175,003.66/x
  3. Step 3: Cross multiply
    74,208.23x = 175,003.66 × 175,003.66
  4. Step 4: Simplify right side
    74,208.23x = 30,626,282,435.30
  5. Step 5: Solve for x
    x = 30,626,282,435.30/74,208.23
  6. Step 6: Final answer
    x = 412,707.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.