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Finding the Third Proportional to 170,868 and 373,903

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Solution

The third proportional to 170,868 and 373,903 is: 818,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,868 : 373,903 = 373,903 : x
  2. Step 2: Convert to fraction form
    170,868/373,903 = 373,903/x
  3. Step 3: Cross multiply
    170,868x = 373,903 × 373,903
  4. Step 4: Simplify right side
    170,868x = 139,803,453,409
  5. Step 5: Solve for x
    x = 139,803,453,409/170,868
  6. Step 6: Final answer
    x = 818,195.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.