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Finding the Third Proportional to 164,728 and 360,974

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Solution

The third proportional to 164,728 and 360,974 is: 791,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,728 : 360,974 = 360,974 : x
  2. Step 2: Convert to fraction form
    164,728/360,974 = 360,974/x
  3. Step 3: Cross multiply
    164,728x = 360,974 × 360,974
  4. Step 4: Simplify right side
    164,728x = 130,302,228,676
  5. Step 5: Solve for x
    x = 130,302,228,676/164,728
  6. Step 6: Final answer
    x = 791,014.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.