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Finding the Third Proportional to 164,435.38 and 245,992.25

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Solution

The third proportional to 164,435.38 and 245,992.25 is: 367,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,435.38 : 245,992.25 = 245,992.25 : x
  2. Step 2: Convert to fraction form
    164,435.38/245,992.25 = 245,992.25/x
  3. Step 3: Cross multiply
    164,435.38x = 245,992.25 × 245,992.25
  4. Step 4: Simplify right side
    164,435.38x = 60,512,187,060.06
  5. Step 5: Solve for x
    x = 60,512,187,060.06/164,435.38
  6. Step 6: Final answer
    x = 367,999.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.