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Finding the Third Proportional to 177,750.75 and 380,413.50

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Solution

The third proportional to 177,750.75 and 380,413.50 is: 814,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,750.75 : 380,413.50 = 380,413.50 : x
  2. Step 2: Convert to fraction form
    177,750.75/380,413.50 = 380,413.50/x
  3. Step 3: Cross multiply
    177,750.75x = 380,413.50 × 380,413.50
  4. Step 4: Simplify right side
    177,750.75x = 144,714,430,982.25
  5. Step 5: Solve for x
    x = 144,714,430,982.25/177,750.75
  6. Step 6: Final answer
    x = 814,142.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.