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Finding the Third Proportional to 158,616.75 and 343,369.50

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Solution

The third proportional to 158,616.75 and 343,369.50 is: 743,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,616.75 : 343,369.50 = 343,369.50 : x
  2. Step 2: Convert to fraction form
    158,616.75/343,369.50 = 343,369.50/x
  3. Step 3: Cross multiply
    158,616.75x = 343,369.50 × 343,369.50
  4. Step 4: Simplify right side
    158,616.75x = 117,902,613,530.25
  5. Step 5: Solve for x
    x = 117,902,613,530.25/158,616.75
  6. Step 6: Final answer
    x = 743,317.55

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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.