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Finding the Third Proportional to 234,946 and 378,299

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Solution

The third proportional to 234,946 and 378,299 is: 609,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,946 : 378,299 = 378,299 : x
  2. Step 2: Convert to fraction form
    234,946/378,299 = 378,299/x
  3. Step 3: Cross multiply
    234,946x = 378,299 × 378,299
  4. Step 4: Simplify right side
    234,946x = 143,110,133,401
  5. Step 5: Solve for x
    x = 143,110,133,401/234,946
  6. Step 6: Final answer
    x = 609,119.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.