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Finding the Third Proportional to 169,255.41 and 407,811.38

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Solution

The third proportional to 169,255.41 and 407,811.38 is: 982,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,255.41 : 407,811.38 = 407,811.38 : x
  2. Step 2: Convert to fraction form
    169,255.41/407,811.38 = 407,811.38/x
  3. Step 3: Cross multiply
    169,255.41x = 407,811.38 × 407,811.38
  4. Step 4: Simplify right side
    169,255.41x = 166,310,117,579.39
  5. Step 5: Solve for x
    x = 166,310,117,579.39/169,255.41
  6. Step 6: Final answer
    x = 982,598.55

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.