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Finding the Third Proportional to 123,349 and 264,190

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Solution

The third proportional to 123,349 and 264,190 is: 565,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,349 : 264,190 = 264,190 : x
  2. Step 2: Convert to fraction form
    123,349/264,190 = 264,190/x
  3. Step 3: Cross multiply
    123,349x = 264,190 × 264,190
  4. Step 4: Simplify right side
    123,349x = 69,796,356,100
  5. Step 5: Solve for x
    x = 69,796,356,100/123,349
  6. Step 6: Final answer
    x = 565,844.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.