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Finding the Third Proportional to 195,896 and 290,964

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Solution

The third proportional to 195,896 and 290,964 is: 432,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,896 : 290,964 = 290,964 : x
  2. Step 2: Convert to fraction form
    195,896/290,964 = 290,964/x
  3. Step 3: Cross multiply
    195,896x = 290,964 × 290,964
  4. Step 4: Simplify right side
    195,896x = 84,660,049,296
  5. Step 5: Solve for x
    x = 84,660,049,296/195,896
  6. Step 6: Final answer
    x = 432,168.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.