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Finding the Third Proportional to 159,853 and 350,162

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Solution

The third proportional to 159,853 and 350,162 is: 767,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,853 : 350,162 = 350,162 : x
  2. Step 2: Convert to fraction form
    159,853/350,162 = 350,162/x
  3. Step 3: Cross multiply
    159,853x = 350,162 × 350,162
  4. Step 4: Simplify right side
    159,853x = 122,613,426,244
  5. Step 5: Solve for x
    x = 122,613,426,244/159,853
  6. Step 6: Final answer
    x = 767,038.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.