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Finding the Third Proportional to 195,968 and 294,216

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Solution

The third proportional to 195,968 and 294,216 is: 441,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,968 : 294,216 = 294,216 : x
  2. Step 2: Convert to fraction form
    195,968/294,216 = 294,216/x
  3. Step 3: Cross multiply
    195,968x = 294,216 × 294,216
  4. Step 4: Simplify right side
    195,968x = 86,563,054,656
  5. Step 5: Solve for x
    x = 86,563,054,656/195,968
  6. Step 6: Final answer
    x = 441,720.36

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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.