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Finding the Third Proportional to 159,114 and 343,134

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Solution

The third proportional to 159,114 and 343,134 is: 739,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,114 : 343,134 = 343,134 : x
  2. Step 2: Convert to fraction form
    159,114/343,134 = 343,134/x
  3. Step 3: Cross multiply
    159,114x = 343,134 × 343,134
  4. Step 4: Simplify right side
    159,114x = 117,740,941,956
  5. Step 5: Solve for x
    x = 117,740,941,956/159,114
  6. Step 6: Final answer
    x = 739,978.52

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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.