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Finding the Third Proportional to 123,904 and 263,792

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Solution

The third proportional to 123,904 and 263,792 is: 561,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,904 : 263,792 = 263,792 : x
  2. Step 2: Convert to fraction form
    123,904/263,792 = 263,792/x
  3. Step 3: Cross multiply
    123,904x = 263,792 × 263,792
  4. Step 4: Simplify right side
    123,904x = 69,586,219,264
  5. Step 5: Solve for x
    x = 69,586,219,264/123,904
  6. Step 6: Final answer
    x = 561,613.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.