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Finding the Third Proportional to 74,080.50 and 164,178

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Solution

The third proportional to 74,080.50 and 164,178 is: 363,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,080.50 : 164,178 = 164,178 : x
  2. Step 2: Convert to fraction form
    74,080.50/164,178 = 164,178/x
  3. Step 3: Cross multiply
    74,080.50x = 164,178 × 164,178
  4. Step 4: Simplify right side
    74,080.50x = 26,954,415,684
  5. Step 5: Solve for x
    x = 26,954,415,684/74,080.50
  6. Step 6: Final answer
    x = 363,853.05

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.