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Finding the Third Proportional to 119,360 and 262,708

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Solution

The third proportional to 119,360 and 262,708 is: 578,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,360 : 262,708 = 262,708 : x
  2. Step 2: Convert to fraction form
    119,360/262,708 = 262,708/x
  3. Step 3: Cross multiply
    119,360x = 262,708 × 262,708
  4. Step 4: Simplify right side
    119,360x = 69,015,493,264
  5. Step 5: Solve for x
    x = 69,015,493,264/119,360
  6. Step 6: Final answer
    x = 578,212.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.