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Finding the Third Proportional to 118,258 and 262,759

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Solution

The third proportional to 118,258 and 262,759 is: 583,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,258 : 262,759 = 262,759 : x
  2. Step 2: Convert to fraction form
    118,258/262,759 = 262,759/x
  3. Step 3: Cross multiply
    118,258x = 262,759 × 262,759
  4. Step 4: Simplify right side
    118,258x = 69,042,292,081
  5. Step 5: Solve for x
    x = 69,042,292,081/118,258
  6. Step 6: Final answer
    x = 583,827.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.