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Finding the Third Proportional to 159,014 and 345,636

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Solution

The third proportional to 159,014 and 345,636 is: 751,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,014 : 345,636 = 345,636 : x
  2. Step 2: Convert to fraction form
    159,014/345,636 = 345,636/x
  3. Step 3: Cross multiply
    159,014x = 345,636 × 345,636
  4. Step 4: Simplify right side
    159,014x = 119,464,244,496
  5. Step 5: Solve for x
    x = 119,464,244,496/159,014
  6. Step 6: Final answer
    x = 751,281.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.