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Finding the Third Proportional to 155,469 and 329,621

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Solution

The third proportional to 155,469 and 329,621 is: 698,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,469 : 329,621 = 329,621 : x
  2. Step 2: Convert to fraction form
    155,469/329,621 = 329,621/x
  3. Step 3: Cross multiply
    155,469x = 329,621 × 329,621
  4. Step 4: Simplify right side
    155,469x = 108,650,003,641
  5. Step 5: Solve for x
    x = 108,650,003,641/155,469
  6. Step 6: Final answer
    x = 698,853.17

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