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Finding the Third Proportional to 159,682.13 and 347,714.25

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Solution

The third proportional to 159,682.13 and 347,714.25 is: 757,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,682.13 : 347,714.25 = 347,714.25 : x
  2. Step 2: Convert to fraction form
    159,682.13/347,714.25 = 347,714.25/x
  3. Step 3: Cross multiply
    159,682.13x = 347,714.25 × 347,714.25
  4. Step 4: Simplify right side
    159,682.13x = 120,905,199,653.06
  5. Step 5: Solve for x
    x = 120,905,199,653.06/159,682.13
  6. Step 6: Final answer
    x = 757,161.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.