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Finding the Third Proportional to 195,609 and 417,054

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Solution

The third proportional to 195,609 and 417,054 is: 889,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,609 : 417,054 = 417,054 : x
  2. Step 2: Convert to fraction form
    195,609/417,054 = 417,054/x
  3. Step 3: Cross multiply
    195,609x = 417,054 × 417,054
  4. Step 4: Simplify right side
    195,609x = 173,934,038,916
  5. Step 5: Solve for x
    x = 173,934,038,916/195,609
  6. Step 6: Final answer
    x = 889,192.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.