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Finding the Third Proportional to 237,906 and 347,923

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Solution

The third proportional to 237,906 and 347,923 is: 508,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,906 : 347,923 = 347,923 : x
  2. Step 2: Convert to fraction form
    237,906/347,923 = 347,923/x
  3. Step 3: Cross multiply
    237,906x = 347,923 × 347,923
  4. Step 4: Simplify right side
    237,906x = 121,050,413,929
  5. Step 5: Solve for x
    x = 121,050,413,929/237,906
  6. Step 6: Final answer
    x = 508,816.15

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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.