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Finding the Third Proportional to 233,676 and 350,118

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Solution

The third proportional to 233,676 and 350,118 is: 524,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,676 : 350,118 = 350,118 : x
  2. Step 2: Convert to fraction form
    233,676/350,118 = 350,118/x
  3. Step 3: Cross multiply
    233,676x = 350,118 × 350,118
  4. Step 4: Simplify right side
    233,676x = 122,582,613,924
  5. Step 5: Solve for x
    x = 122,582,613,924/233,676
  6. Step 6: Final answer
    x = 524,583.67

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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.