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Finding the Third Proportional to 278,974 and 358,197

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Solution

The third proportional to 278,974 and 358,197 is: 459,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,974 : 358,197 = 358,197 : x
  2. Step 2: Convert to fraction form
    278,974/358,197 = 358,197/x
  3. Step 3: Cross multiply
    278,974x = 358,197 × 358,197
  4. Step 4: Simplify right side
    278,974x = 128,305,090,809
  5. Step 5: Solve for x
    x = 128,305,090,809/278,974
  6. Step 6: Final answer
    x = 459,917.74

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.