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Finding the Third Proportional to 191,640 and 416,868

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Solution

The third proportional to 191,640 and 416,868 is: 906,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,640 : 416,868 = 416,868 : x
  2. Step 2: Convert to fraction form
    191,640/416,868 = 416,868/x
  3. Step 3: Cross multiply
    191,640x = 416,868 × 416,868
  4. Step 4: Simplify right side
    191,640x = 173,778,929,424
  5. Step 5: Solve for x
    x = 173,778,929,424/191,640
  6. Step 6: Final answer
    x = 906,798.84

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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.