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Finding the Third Proportional to 124,311 and 268,278

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Solution

The third proportional to 124,311 and 268,278 is: 578,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,311 : 268,278 = 268,278 : x
  2. Step 2: Convert to fraction form
    124,311/268,278 = 268,278/x
  3. Step 3: Cross multiply
    124,311x = 268,278 × 268,278
  4. Step 4: Simplify right side
    124,311x = 71,973,085,284
  5. Step 5: Solve for x
    x = 71,973,085,284/124,311
  6. Step 6: Final answer
    x = 578,976.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.