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Finding the Third Proportional to 247,969.50 and 370,993.38

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Solution

The third proportional to 247,969.50 and 370,993.38 is: 555,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,969.50 : 370,993.38 = 370,993.38 : x
  2. Step 2: Convert to fraction form
    247,969.50/370,993.38 = 370,993.38/x
  3. Step 3: Cross multiply
    247,969.50x = 370,993.38 × 370,993.38
  4. Step 4: Simplify right side
    247,969.50x = 137,636,084,293.89
  5. Step 5: Solve for x
    x = 137,636,084,293.89/247,969.50
  6. Step 6: Final answer
    x = 555,052.47

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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.