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Finding the Third Proportional to 148,485 and 319,947

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Solution

The third proportional to 148,485 and 319,947 is: 689,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,485 : 319,947 = 319,947 : x
  2. Step 2: Convert to fraction form
    148,485/319,947 = 319,947/x
  3. Step 3: Cross multiply
    148,485x = 319,947 × 319,947
  4. Step 4: Simplify right side
    148,485x = 102,366,082,809
  5. Step 5: Solve for x
    x = 102,366,082,809/148,485
  6. Step 6: Final answer
    x = 689,403.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.