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Finding the Third Proportional to 239,232 and 385,456

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Solution

The third proportional to 239,232 and 385,456 is: 621,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,232 : 385,456 = 385,456 : x
  2. Step 2: Convert to fraction form
    239,232/385,456 = 385,456/x
  3. Step 3: Cross multiply
    239,232x = 385,456 × 385,456
  4. Step 4: Simplify right side
    239,232x = 148,576,327,936
  5. Step 5: Solve for x
    x = 148,576,327,936/239,232
  6. Step 6: Final answer
    x = 621,055.41

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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.