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Finding the Third Proportional to 177,207.75 and 382,413.38

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Solution

The third proportional to 177,207.75 and 382,413.38 is: 825,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,207.75 : 382,413.38 = 382,413.38 : x
  2. Step 2: Convert to fraction form
    177,207.75/382,413.38 = 382,413.38/x
  3. Step 3: Cross multiply
    177,207.75x = 382,413.38 × 382,413.38
  4. Step 4: Simplify right side
    177,207.75x = 146,239,989,378.89
  5. Step 5: Solve for x
    x = 146,239,989,378.89/177,207.75
  6. Step 6: Final answer
    x = 825,246.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.