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Finding the Third Proportional to 195,338 and 414,654

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Solution

The third proportional to 195,338 and 414,654 is: 880,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,338 : 414,654 = 414,654 : x
  2. Step 2: Convert to fraction form
    195,338/414,654 = 414,654/x
  3. Step 3: Cross multiply
    195,338x = 414,654 × 414,654
  4. Step 4: Simplify right side
    195,338x = 171,937,939,716
  5. Step 5: Solve for x
    x = 171,937,939,716/195,338
  6. Step 6: Final answer
    x = 880,207.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.