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Finding the Third Proportional to 239,202 and 385,413.19

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Solution

The third proportional to 239,202 and 385,413.19 is: 620,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,202 : 385,413.19 = 385,413.19 : x
  2. Step 2: Convert to fraction form
    239,202/385,413.19 = 385,413.19/x
  3. Step 3: Cross multiply
    239,202x = 385,413.19 × 385,413.19
  4. Step 4: Simplify right side
    239,202x = 148,543,325,098.91
  5. Step 5: Solve for x
    x = 148,543,325,098.91/239,202
  6. Step 6: Final answer
    x = 620,995.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.