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Finding the Third Proportional to 158,944 and 343,700

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Solution

The third proportional to 158,944 and 343,700 is: 743,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,944 : 343,700 = 343,700 : x
  2. Step 2: Convert to fraction form
    158,944/343,700 = 343,700/x
  3. Step 3: Cross multiply
    158,944x = 343,700 × 343,700
  4. Step 4: Simplify right side
    158,944x = 118,129,690,000
  5. Step 5: Solve for x
    x = 118,129,690,000/158,944
  6. Step 6: Final answer
    x = 743,215.79

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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.