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Finding the Third Proportional to 170,967 and 373,403

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Solution

The third proportional to 170,967 and 373,403 is: 815,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,967 : 373,403 = 373,403 : x
  2. Step 2: Convert to fraction form
    170,967/373,403 = 373,403/x
  3. Step 3: Cross multiply
    170,967x = 373,403 × 373,403
  4. Step 4: Simplify right side
    170,967x = 139,429,800,409
  5. Step 5: Solve for x
    x = 139,429,800,409/170,967
  6. Step 6: Final answer
    x = 815,536.33

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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.