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Finding the Third Proportional to 239,467 and 348,670

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Solution

The third proportional to 239,467 and 348,670 is: 507,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,467 : 348,670 = 348,670 : x
  2. Step 2: Convert to fraction form
    239,467/348,670 = 348,670/x
  3. Step 3: Cross multiply
    239,467x = 348,670 × 348,670
  4. Step 4: Simplify right side
    239,467x = 121,570,768,900
  5. Step 5: Solve for x
    x = 121,570,768,900/239,467
  6. Step 6: Final answer
    x = 507,672.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.