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Finding the Third Proportional to 162,777 and 354,954

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Solution

The third proportional to 162,777 and 354,954 is: 774,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,777 : 354,954 = 354,954 : x
  2. Step 2: Convert to fraction form
    162,777/354,954 = 354,954/x
  3. Step 3: Cross multiply
    162,777x = 354,954 × 354,954
  4. Step 4: Simplify right side
    162,777x = 125,992,342,116
  5. Step 5: Solve for x
    x = 125,992,342,116/162,777
  6. Step 6: Final answer
    x = 774,018.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.