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Finding the Third Proportional to 190,980 and 416,196

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Solution

The third proportional to 190,980 and 416,196 is: 907,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,980 : 416,196 = 416,196 : x
  2. Step 2: Convert to fraction form
    190,980/416,196 = 416,196/x
  3. Step 3: Cross multiply
    190,980x = 416,196 × 416,196
  4. Step 4: Simplify right side
    190,980x = 173,219,110,416
  5. Step 5: Solve for x
    x = 173,219,110,416/190,980
  6. Step 6: Final answer
    x = 907,001.31

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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.