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Finding the Third Proportional to 147,189.38 and 233,450.44

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Solution

The third proportional to 147,189.38 and 233,450.44 is: 370,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,189.38 : 233,450.44 = 233,450.44 : x
  2. Step 2: Convert to fraction form
    147,189.38/233,450.44 = 233,450.44/x
  3. Step 3: Cross multiply
    147,189.38x = 233,450.44 × 233,450.44
  4. Step 4: Simplify right side
    147,189.38x = 54,499,106,768.94
  5. Step 5: Solve for x
    x = 54,499,106,768.94/147,189.38
  6. Step 6: Final answer
    x = 370,265.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.