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Finding the Third Proportional to 196,826 and 305,607

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Solution

The third proportional to 196,826 and 305,607 is: 474,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,826 : 305,607 = 305,607 : x
  2. Step 2: Convert to fraction form
    196,826/305,607 = 305,607/x
  3. Step 3: Cross multiply
    196,826x = 305,607 × 305,607
  4. Step 4: Simplify right side
    196,826x = 93,395,638,449
  5. Step 5: Solve for x
    x = 93,395,638,449/196,826
  6. Step 6: Final answer
    x = 474,508.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.