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Finding the Third Proportional to 124,626 and 270,284

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Solution

The third proportional to 124,626 and 270,284 is: 586,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,626 : 270,284 = 270,284 : x
  2. Step 2: Convert to fraction form
    124,626/270,284 = 270,284/x
  3. Step 3: Cross multiply
    124,626x = 270,284 × 270,284
  4. Step 4: Simplify right side
    124,626x = 73,053,440,656
  5. Step 5: Solve for x
    x = 73,053,440,656/124,626
  6. Step 6: Final answer
    x = 586,181.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.