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Finding the Third Proportional to 164,381.91 and 354,157.31

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Solution

The third proportional to 164,381.91 and 354,157.31 is: 763,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,381.91 : 354,157.31 = 354,157.31 : x
  2. Step 2: Convert to fraction form
    164,381.91/354,157.31 = 354,157.31/x
  3. Step 3: Cross multiply
    164,381.91x = 354,157.31 × 354,157.31
  4. Step 4: Simplify right side
    164,381.91x = 125,427,401,997.22
  5. Step 5: Solve for x
    x = 125,427,401,997.22/164,381.91
  6. Step 6: Final answer
    x = 763,024.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.