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Finding the Third Proportional to 207,533 and 304,413.50

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Solution

The third proportional to 207,533 and 304,413.50 is: 446,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,533 : 304,413.50 = 304,413.50 : x
  2. Step 2: Convert to fraction form
    207,533/304,413.50 = 304,413.50/x
  3. Step 3: Cross multiply
    207,533x = 304,413.50 × 304,413.50
  4. Step 4: Simplify right side
    207,533x = 92,667,578,982.25
  5. Step 5: Solve for x
    x = 92,667,578,982.25/207,533
  6. Step 6: Final answer
    x = 446,519.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.