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Finding the Third Proportional to 174,292 and 377,891

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Solution

The third proportional to 174,292 and 377,891 is: 819,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,292 : 377,891 = 377,891 : x
  2. Step 2: Convert to fraction form
    174,292/377,891 = 377,891/x
  3. Step 3: Cross multiply
    174,292x = 377,891 × 377,891
  4. Step 4: Simplify right side
    174,292x = 142,801,607,881
  5. Step 5: Solve for x
    x = 142,801,607,881/174,292
  6. Step 6: Final answer
    x = 819,323.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.