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Finding the Third Proportional to 174,741 and 382,195.50

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Solution

The third proportional to 174,741 and 382,195.50 is: 835,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,741 : 382,195.50 = 382,195.50 : x
  2. Step 2: Convert to fraction form
    174,741/382,195.50 = 382,195.50/x
  3. Step 3: Cross multiply
    174,741x = 382,195.50 × 382,195.50
  4. Step 4: Simplify right side
    174,741x = 146,073,400,220.25
  5. Step 5: Solve for x
    x = 146,073,400,220.25/174,741
  6. Step 6: Final answer
    x = 835,942.34

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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.