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Finding the Third Proportional to 123,284 and 262,454

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Solution

The third proportional to 123,284 and 262,454 is: 558,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,284 : 262,454 = 262,454 : x
  2. Step 2: Convert to fraction form
    123,284/262,454 = 262,454/x
  3. Step 3: Cross multiply
    123,284x = 262,454 × 262,454
  4. Step 4: Simplify right side
    123,284x = 68,882,102,116
  5. Step 5: Solve for x
    x = 68,882,102,116/123,284
  6. Step 6: Final answer
    x = 558,727.02

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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.