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Finding the Third Proportional to 159,095 and 343,086

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Solution

The third proportional to 159,095 and 343,086 is: 739,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,095 : 343,086 = 343,086 : x
  2. Step 2: Convert to fraction form
    159,095/343,086 = 343,086/x
  3. Step 3: Cross multiply
    159,095x = 343,086 × 343,086
  4. Step 4: Simplify right side
    159,095x = 117,708,003,396
  5. Step 5: Solve for x
    x = 117,708,003,396/159,095
  6. Step 6: Final answer
    x = 739,859.85

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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.