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Finding the Third Proportional to 171,646 and 373,804

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Solution

The third proportional to 171,646 and 373,804 is: 814,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,646 : 373,804 = 373,804 : x
  2. Step 2: Convert to fraction form
    171,646/373,804 = 373,804/x
  3. Step 3: Cross multiply
    171,646x = 373,804 × 373,804
  4. Step 4: Simplify right side
    171,646x = 139,729,430,416
  5. Step 5: Solve for x
    x = 139,729,430,416/171,646
  6. Step 6: Final answer
    x = 814,055.85

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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.