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Finding the Third Proportional to 194,194 and 416,360

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Solution

The third proportional to 194,194 and 416,360 is: 892,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,194 : 416,360 = 416,360 : x
  2. Step 2: Convert to fraction form
    194,194/416,360 = 416,360/x
  3. Step 3: Cross multiply
    194,194x = 416,360 × 416,360
  4. Step 4: Simplify right side
    194,194x = 173,355,649,600
  5. Step 5: Solve for x
    x = 173,355,649,600/194,194
  6. Step 6: Final answer
    x = 892,693.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.