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Finding the Third Proportional to 162,981 and 360,954

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Solution

The third proportional to 162,981 and 360,954 is: 799,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,981 : 360,954 = 360,954 : x
  2. Step 2: Convert to fraction form
    162,981/360,954 = 360,954/x
  3. Step 3: Cross multiply
    162,981x = 360,954 × 360,954
  4. Step 4: Simplify right side
    162,981x = 130,287,790,116
  5. Step 5: Solve for x
    x = 130,287,790,116/162,981
  6. Step 6: Final answer
    x = 799,404.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.