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Finding the Third Proportional to 74,187 and 164,385

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Solution

The third proportional to 74,187 and 164,385 is: 364,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,187 : 164,385 = 164,385 : x
  2. Step 2: Convert to fraction form
    74,187/164,385 = 164,385/x
  3. Step 3: Cross multiply
    74,187x = 164,385 × 164,385
  4. Step 4: Simplify right side
    74,187x = 27,022,428,225
  5. Step 5: Solve for x
    x = 27,022,428,225/74,187
  6. Step 6: Final answer
    x = 364,247.49

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Why These Related Problems?

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