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Finding the Third Proportional to 237,890 and 347,904

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Solution

The third proportional to 237,890 and 347,904 is: 508,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,890 : 347,904 = 347,904 : x
  2. Step 2: Convert to fraction form
    237,890/347,904 = 347,904/x
  3. Step 3: Cross multiply
    237,890x = 347,904 × 347,904
  4. Step 4: Simplify right side
    237,890x = 121,037,193,216
  5. Step 5: Solve for x
    x = 121,037,193,216/237,890
  6. Step 6: Final answer
    x = 508,794.79

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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.