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Finding the Third Proportional to 199,506 and 279,947

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Solution

The third proportional to 199,506 and 279,947 is: 392,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,506 : 279,947 = 279,947 : x
  2. Step 2: Convert to fraction form
    199,506/279,947 = 279,947/x
  3. Step 3: Cross multiply
    199,506x = 279,947 × 279,947
  4. Step 4: Simplify right side
    199,506x = 78,370,322,809
  5. Step 5: Solve for x
    x = 78,370,322,809/199,506
  6. Step 6: Final answer
    x = 392,821.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.