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Finding the Third Proportional to 159,072 and 343,051

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Solution

The third proportional to 159,072 and 343,051 is: 739,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,072 : 343,051 = 343,051 : x
  2. Step 2: Convert to fraction form
    159,072/343,051 = 343,051/x
  3. Step 3: Cross multiply
    159,072x = 343,051 × 343,051
  4. Step 4: Simplify right side
    159,072x = 117,683,988,601
  5. Step 5: Solve for x
    x = 117,683,988,601/159,072
  6. Step 6: Final answer
    x = 739,815.86

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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.