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Finding the Third Proportional to 123,155 and 264,728

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Solution

The third proportional to 123,155 and 264,728 is: 569,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,155 : 264,728 = 264,728 : x
  2. Step 2: Convert to fraction form
    123,155/264,728 = 264,728/x
  3. Step 3: Cross multiply
    123,155x = 264,728 × 264,728
  4. Step 4: Simplify right side
    123,155x = 70,080,913,984
  5. Step 5: Solve for x
    x = 70,080,913,984/123,155
  6. Step 6: Final answer
    x = 569,046.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.