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Finding the Third Proportional to 190,846 and 286,701

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Solution

The third proportional to 190,846 and 286,701 is: 430,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,846 : 286,701 = 286,701 : x
  2. Step 2: Convert to fraction form
    190,846/286,701 = 286,701/x
  3. Step 3: Cross multiply
    190,846x = 286,701 × 286,701
  4. Step 4: Simplify right side
    190,846x = 82,197,463,401
  5. Step 5: Solve for x
    x = 82,197,463,401/190,846
  6. Step 6: Final answer
    x = 430,700.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.