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Finding the Third Proportional to 159,216 and 335,712

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Solution

The third proportional to 159,216 and 335,712 is: 707,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,216 : 335,712 = 335,712 : x
  2. Step 2: Convert to fraction form
    159,216/335,712 = 335,712/x
  3. Step 3: Cross multiply
    159,216x = 335,712 × 335,712
  4. Step 4: Simplify right side
    159,216x = 112,702,546,944
  5. Step 5: Solve for x
    x = 112,702,546,944/159,216
  6. Step 6: Final answer
    x = 707,859.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.