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Finding the Third Proportional to 124,622 and 270,278

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Solution

The third proportional to 124,622 and 270,278 is: 586,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,622 : 270,278 = 270,278 : x
  2. Step 2: Convert to fraction form
    124,622/270,278 = 270,278/x
  3. Step 3: Cross multiply
    124,622x = 270,278 × 270,278
  4. Step 4: Simplify right side
    124,622x = 73,050,197,284
  5. Step 5: Solve for x
    x = 73,050,197,284/124,622
  6. Step 6: Final answer
    x = 586,174.17

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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.