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Finding the Third Proportional to 195,000 and 420,336

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Solution

The third proportional to 195,000 and 420,336 is: 906,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,000 : 420,336 = 420,336 : x
  2. Step 2: Convert to fraction form
    195,000/420,336 = 420,336/x
  3. Step 3: Cross multiply
    195,000x = 420,336 × 420,336
  4. Step 4: Simplify right side
    195,000x = 176,682,352,896
  5. Step 5: Solve for x
    x = 176,682,352,896/195,000
  6. Step 6: Final answer
    x = 906,063.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.