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Finding the Third Proportional to 191,946 and 301,078

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Solution

The third proportional to 191,946 and 301,078 is: 472,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,946 : 301,078 = 301,078 : x
  2. Step 2: Convert to fraction form
    191,946/301,078 = 301,078/x
  3. Step 3: Cross multiply
    191,946x = 301,078 × 301,078
  4. Step 4: Simplify right side
    191,946x = 90,647,962,084
  5. Step 5: Solve for x
    x = 90,647,962,084/191,946
  6. Step 6: Final answer
    x = 472,257.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.