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Finding the Third Proportional to 197,420 and 313,986

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Solution

The third proportional to 197,420 and 313,986 is: 499,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,420 : 313,986 = 313,986 : x
  2. Step 2: Convert to fraction form
    197,420/313,986 = 313,986/x
  3. Step 3: Cross multiply
    197,420x = 313,986 × 313,986
  4. Step 4: Simplify right side
    197,420x = 98,587,208,196
  5. Step 5: Solve for x
    x = 98,587,208,196/197,420
  6. Step 6: Final answer
    x = 499,378.02

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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.