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Finding the Third Proportional to 159,986 and 345,630

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Solution

The third proportional to 159,986 and 345,630 is: 746,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,986 : 345,630 = 345,630 : x
  2. Step 2: Convert to fraction form
    159,986/345,630 = 345,630/x
  3. Step 3: Cross multiply
    159,986x = 345,630 × 345,630
  4. Step 4: Simplify right side
    159,986x = 119,460,096,900
  5. Step 5: Solve for x
    x = 119,460,096,900/159,986
  6. Step 6: Final answer
    x = 746,690.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.