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Finding the Third Proportional to 197,539 and 313,804.50

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Solution

The third proportional to 197,539 and 313,804.50 is: 498,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,539 : 313,804.50 = 313,804.50 : x
  2. Step 2: Convert to fraction form
    197,539/313,804.50 = 313,804.50/x
  3. Step 3: Cross multiply
    197,539x = 313,804.50 × 313,804.50
  4. Step 4: Simplify right side
    197,539x = 98,473,264,220.25
  5. Step 5: Solve for x
    x = 98,473,264,220.25/197,539
  6. Step 6: Final answer
    x = 498,500.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.