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Finding the Third Proportional to 174,738.94 and 382,186.69

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Solution

The third proportional to 174,738.94 and 382,186.69 is: 835,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,738.94 : 382,186.69 = 382,186.69 : x
  2. Step 2: Convert to fraction form
    174,738.94/382,186.69 = 382,186.69/x
  3. Step 3: Cross multiply
    174,738.94x = 382,186.69 × 382,186.69
  4. Step 4: Simplify right side
    174,738.94x = 146,066,664,102.22
  5. Step 5: Solve for x
    x = 146,066,664,102.22/174,738.94
  6. Step 6: Final answer
    x = 835,913.66

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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.