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Finding the Third Proportional to 139,947 and 301,998

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Solution

The third proportional to 139,947 and 301,998 is: 651,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,947 : 301,998 = 301,998 : x
  2. Step 2: Convert to fraction form
    139,947/301,998 = 301,998/x
  3. Step 3: Cross multiply
    139,947x = 301,998 × 301,998
  4. Step 4: Simplify right side
    139,947x = 91,202,792,004
  5. Step 5: Solve for x
    x = 91,202,792,004/139,947
  6. Step 6: Final answer
    x = 651,695.23

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