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Finding the Third Proportional to 159,345 and 347,670

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Solution

The third proportional to 159,345 and 347,670 is: 758,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,345 : 347,670 = 347,670 : x
  2. Step 2: Convert to fraction form
    159,345/347,670 = 347,670/x
  3. Step 3: Cross multiply
    159,345x = 347,670 × 347,670
  4. Step 4: Simplify right side
    159,345x = 120,874,428,900
  5. Step 5: Solve for x
    x = 120,874,428,900/159,345
  6. Step 6: Final answer
    x = 758,570.58

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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.