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Finding the Third Proportional to 174,322.41 and 269,172.28

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Solution

The third proportional to 174,322.41 and 269,172.28 is: 415,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,322.41 : 269,172.28 = 269,172.28 : x
  2. Step 2: Convert to fraction form
    174,322.41/269,172.28 = 269,172.28/x
  3. Step 3: Cross multiply
    174,322.41x = 269,172.28 × 269,172.28
  4. Step 4: Simplify right side
    174,322.41x = 72,453,716,993.33
  5. Step 5: Solve for x
    x = 72,453,716,993.33/174,322.41
  6. Step 6: Final answer
    x = 415,630.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.