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Finding the Third Proportional to 158,664.75 and 343,453.50

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Solution

The third proportional to 158,664.75 and 343,453.50 is: 743,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,664.75 : 343,453.50 = 343,453.50 : x
  2. Step 2: Convert to fraction form
    158,664.75/343,453.50 = 343,453.50/x
  3. Step 3: Cross multiply
    158,664.75x = 343,453.50 × 343,453.50
  4. Step 4: Simplify right side
    158,664.75x = 117,960,306,662.25
  5. Step 5: Solve for x
    x = 117,960,306,662.25/158,664.75
  6. Step 6: Final answer
    x = 743,456.29

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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.