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Finding the Third Proportional to 173,772 and 405,983.25

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Solution

The third proportional to 173,772 and 405,983.25 is: 948,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,772 : 405,983.25 = 405,983.25 : x
  2. Step 2: Convert to fraction form
    173,772/405,983.25 = 405,983.25/x
  3. Step 3: Cross multiply
    173,772x = 405,983.25 × 405,983.25
  4. Step 4: Simplify right side
    173,772x = 164,822,399,280.56
  5. Step 5: Solve for x
    x = 164,822,399,280.56/173,772
  6. Step 6: Final answer
    x = 948,498.03

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.