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Finding the Third Proportional to 159,052 and 343,015

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Solution

The third proportional to 159,052 and 343,015 is: 739,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,052 : 343,015 = 343,015 : x
  2. Step 2: Convert to fraction form
    159,052/343,015 = 343,015/x
  3. Step 3: Cross multiply
    159,052x = 343,015 × 343,015
  4. Step 4: Simplify right side
    159,052x = 117,659,290,225
  5. Step 5: Solve for x
    x = 117,659,290,225/159,052
  6. Step 6: Final answer
    x = 739,753.60

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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.