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Finding the Third Proportional to 195,970 and 294,219

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Solution

The third proportional to 195,970 and 294,219 is: 441,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,970 : 294,219 = 294,219 : x
  2. Step 2: Convert to fraction form
    195,970/294,219 = 294,219/x
  3. Step 3: Cross multiply
    195,970x = 294,219 × 294,219
  4. Step 4: Simplify right side
    195,970x = 86,564,819,961
  5. Step 5: Solve for x
    x = 86,564,819,961/195,970
  6. Step 6: Final answer
    x = 441,724.86

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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.