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Finding the Third Proportional to 173,776.50 and 405,994.50

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Solution

The third proportional to 173,776.50 and 405,994.50 is: 948,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,776.50 : 405,994.50 = 405,994.50 : x
  2. Step 2: Convert to fraction form
    173,776.50/405,994.50 = 405,994.50/x
  3. Step 3: Cross multiply
    173,776.50x = 405,994.50 × 405,994.50
  4. Step 4: Simplify right side
    173,776.50x = 164,831,534,030.25
  5. Step 5: Solve for x
    x = 164,831,534,030.25/173,776.50
  6. Step 6: Final answer
    x = 948,526.03

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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.