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Finding the Third Proportional to 170,763.19 and 374,738.91

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Solution

The third proportional to 170,763.19 and 374,738.91 is: 822,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,763.19 : 374,738.91 = 374,738.91 : x
  2. Step 2: Convert to fraction form
    170,763.19/374,738.91 = 374,738.91/x
  3. Step 3: Cross multiply
    170,763.19x = 374,738.91 × 374,738.91
  4. Step 4: Simplify right side
    170,763.19x = 140,429,247,857.45
  5. Step 5: Solve for x
    x = 140,429,247,857.45/170,763.19
  6. Step 6: Final answer
    x = 822,362.54

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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.