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Finding the Third Proportional to 197,089.50 and 408,199.50

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Solution

The third proportional to 197,089.50 and 408,199.50 is: 845,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,089.50 : 408,199.50 = 408,199.50 : x
  2. Step 2: Convert to fraction form
    197,089.50/408,199.50 = 408,199.50/x
  3. Step 3: Cross multiply
    197,089.50x = 408,199.50 × 408,199.50
  4. Step 4: Simplify right side
    197,089.50x = 166,626,831,800.25
  5. Step 5: Solve for x
    x = 166,626,831,800.25/197,089.50
  6. Step 6: Final answer
    x = 845,437.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.