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Finding the Third Proportional to 214,433.25 and 315,413.25

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Solution

The third proportional to 214,433.25 and 315,413.25 is: 463,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,433.25 : 315,413.25 = 315,413.25 : x
  2. Step 2: Convert to fraction form
    214,433.25/315,413.25 = 315,413.25/x
  3. Step 3: Cross multiply
    214,433.25x = 315,413.25 × 315,413.25
  4. Step 4: Simplify right side
    214,433.25x = 99,485,518,275.56
  5. Step 5: Solve for x
    x = 99,485,518,275.56/214,433.25
  6. Step 6: Final answer
    x = 463,946.32

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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.