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Finding the Third Proportional to 238,057 and 322,946

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Solution

The third proportional to 238,057 and 322,946 is: 438,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,057 : 322,946 = 322,946 : x
  2. Step 2: Convert to fraction form
    238,057/322,946 = 322,946/x
  3. Step 3: Cross multiply
    238,057x = 322,946 × 322,946
  4. Step 4: Simplify right side
    238,057x = 104,294,118,916
  5. Step 5: Solve for x
    x = 104,294,118,916/238,057
  6. Step 6: Final answer
    x = 438,105.66

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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.