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Finding the Third Proportional to 120,576 and 265,728

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Solution

The third proportional to 120,576 and 265,728 is: 585,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,576 : 265,728 = 265,728 : x
  2. Step 2: Convert to fraction form
    120,576/265,728 = 265,728/x
  3. Step 3: Cross multiply
    120,576x = 265,728 × 265,728
  4. Step 4: Simplify right side
    120,576x = 70,611,369,984
  5. Step 5: Solve for x
    x = 70,611,369,984/120,576
  6. Step 6: Final answer
    x = 585,617.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.