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Finding the Third Proportional to 194,208 and 290,502

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Solution

The third proportional to 194,208 and 290,502 is: 434,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,208 : 290,502 = 290,502 : x
  2. Step 2: Convert to fraction form
    194,208/290,502 = 290,502/x
  3. Step 3: Cross multiply
    194,208x = 290,502 × 290,502
  4. Step 4: Simplify right side
    194,208x = 84,391,412,004
  5. Step 5: Solve for x
    x = 84,391,412,004/194,208
  6. Step 6: Final answer
    x = 434,541.38

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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.