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Finding the Third Proportional to 70,230.38 and 150,302.25

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Solution

The third proportional to 70,230.38 and 150,302.25 is: 321,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,230.38 : 150,302.25 = 150,302.25 : x
  2. Step 2: Convert to fraction form
    70,230.38/150,302.25 = 150,302.25/x
  3. Step 3: Cross multiply
    70,230.38x = 150,302.25 × 150,302.25
  4. Step 4: Simplify right side
    70,230.38x = 22,590,766,355.06
  5. Step 5: Solve for x
    x = 22,590,766,355.06/70,230.38
  6. Step 6: Final answer
    x = 321,666.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.