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Finding the Third Proportional to 143,024.06 and 317,413.69

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Solution

The third proportional to 143,024.06 and 317,413.69 is: 704,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,024.06 : 317,413.69 = 317,413.69 : x
  2. Step 2: Convert to fraction form
    143,024.06/317,413.69 = 317,413.69/x
  3. Step 3: Cross multiply
    143,024.06x = 317,413.69 × 317,413.69
  4. Step 4: Simplify right side
    143,024.06x = 100,751,449,012.35
  5. Step 5: Solve for x
    x = 100,751,449,012.35/143,024.06
  6. Step 6: Final answer
    x = 704,437.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.