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Finding the Third Proportional to 232,458.75 and 340,724.25

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Solution

The third proportional to 232,458.75 and 340,724.25 is: 499,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,458.75 : 340,724.25 = 340,724.25 : x
  2. Step 2: Convert to fraction form
    232,458.75/340,724.25 = 340,724.25/x
  3. Step 3: Cross multiply
    232,458.75x = 340,724.25 × 340,724.25
  4. Step 4: Simplify right side
    232,458.75x = 116,093,014,538.06
  5. Step 5: Solve for x
    x = 116,093,014,538.06/232,458.75
  6. Step 6: Final answer
    x = 499,413.40

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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.