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Finding the Third Proportional to 123,163 and 265,317

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Solution

The third proportional to 123,163 and 265,317 is: 571,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,163 : 265,317 = 265,317 : x
  2. Step 2: Convert to fraction form
    123,163/265,317 = 265,317/x
  3. Step 3: Cross multiply
    123,163x = 265,317 × 265,317
  4. Step 4: Simplify right side
    123,163x = 70,393,110,489
  5. Step 5: Solve for x
    x = 70,393,110,489/123,163
  6. Step 6: Final answer
    x = 571,544.30

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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.