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Finding the Third Proportional to 123,014 and 260,284

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Solution

The third proportional to 123,014 and 260,284 is: 550,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,014 : 260,284 = 260,284 : x
  2. Step 2: Convert to fraction form
    123,014/260,284 = 260,284/x
  3. Step 3: Cross multiply
    123,014x = 260,284 × 260,284
  4. Step 4: Simplify right side
    123,014x = 67,747,760,656
  5. Step 5: Solve for x
    x = 67,747,760,656/123,014
  6. Step 6: Final answer
    x = 550,732.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.