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Finding the Third Proportional to 191,256 and 294,948

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Solution

The third proportional to 191,256 and 294,948 is: 454,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,256 : 294,948 = 294,948 : x
  2. Step 2: Convert to fraction form
    191,256/294,948 = 294,948/x
  3. Step 3: Cross multiply
    191,256x = 294,948 × 294,948
  4. Step 4: Simplify right side
    191,256x = 86,994,322,704
  5. Step 5: Solve for x
    x = 86,994,322,704/191,256
  6. Step 6: Final answer
    x = 454,858.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.