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Finding the Third Proportional to 227,835 and 339,904

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Solution

The third proportional to 227,835 and 339,904 is: 507,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,835 : 339,904 = 339,904 : x
  2. Step 2: Convert to fraction form
    227,835/339,904 = 339,904/x
  3. Step 3: Cross multiply
    227,835x = 339,904 × 339,904
  4. Step 4: Simplify right side
    227,835x = 115,534,729,216
  5. Step 5: Solve for x
    x = 115,534,729,216/227,835
  6. Step 6: Final answer
    x = 507,098.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.