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Finding the Third Proportional to 239,912 and 516,148

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Solution

The third proportional to 239,912 and 516,148 is: 1,110,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,912 : 516,148 = 516,148 : x
  2. Step 2: Convert to fraction form
    239,912/516,148 = 516,148/x
  3. Step 3: Cross multiply
    239,912x = 516,148 × 516,148
  4. Step 4: Simplify right side
    239,912x = 266,408,757,904
  5. Step 5: Solve for x
    x = 266,408,757,904/239,912
  6. Step 6: Final answer
    x = 1,110,443.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.