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Finding the Third Proportional to 175,203 and 262,804.50

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Solution

The third proportional to 175,203 and 262,804.50 is: 394,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,203 : 262,804.50 = 262,804.50 : x
  2. Step 2: Convert to fraction form
    175,203/262,804.50 = 262,804.50/x
  3. Step 3: Cross multiply
    175,203x = 262,804.50 × 262,804.50
  4. Step 4: Simplify right side
    175,203x = 69,066,205,220.25
  5. Step 5: Solve for x
    x = 69,066,205,220.25/175,203
  6. Step 6: Final answer
    x = 394,206.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.