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Finding the Third Proportional to 197,541 and 313,807.50

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Solution

The third proportional to 197,541 and 313,807.50 is: 498,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,541 : 313,807.50 = 313,807.50 : x
  2. Step 2: Convert to fraction form
    197,541/313,807.50 = 313,807.50/x
  3. Step 3: Cross multiply
    197,541x = 313,807.50 × 313,807.50
  4. Step 4: Simplify right side
    197,541x = 98,475,147,056.25
  5. Step 5: Solve for x
    x = 98,475,147,056.25/197,541
  6. Step 6: Final answer
    x = 498,504.85

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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.