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Finding the Third Proportional to 134,415 and 199,074

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Solution

The third proportional to 134,415 and 199,074 is: 294,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,415 : 199,074 = 199,074 : x
  2. Step 2: Convert to fraction form
    134,415/199,074 = 199,074/x
  3. Step 3: Cross multiply
    134,415x = 199,074 × 199,074
  4. Step 4: Simplify right side
    134,415x = 39,630,457,476
  5. Step 5: Solve for x
    x = 39,630,457,476/134,415
  6. Step 6: Final answer
    x = 294,836.57

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.