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Finding the Third Proportional to 237,918 and 322,964

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Solution

The third proportional to 237,918 and 322,964 is: 438,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,918 : 322,964 = 322,964 : x
  2. Step 2: Convert to fraction form
    237,918/322,964 = 322,964/x
  3. Step 3: Cross multiply
    237,918x = 322,964 × 322,964
  4. Step 4: Simplify right side
    237,918x = 104,305,745,296
  5. Step 5: Solve for x
    x = 104,305,745,296/237,918
  6. Step 6: Final answer
    x = 438,410.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.