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Finding the Third Proportional to 247,968 and 370,993.50

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Solution

The third proportional to 247,968 and 370,993.50 is: 555,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,968 : 370,993.50 = 370,993.50 : x
  2. Step 2: Convert to fraction form
    247,968/370,993.50 = 370,993.50/x
  3. Step 3: Cross multiply
    247,968x = 370,993.50 × 370,993.50
  4. Step 4: Simplify right side
    247,968x = 137,636,177,042.25
  5. Step 5: Solve for x
    x = 137,636,177,042.25/247,968
  6. Step 6: Final answer
    x = 555,056.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.