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Finding the Third Proportional to 118,712 and 241,820

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Solution

The third proportional to 118,712 and 241,820 is: 492,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,712 : 241,820 = 241,820 : x
  2. Step 2: Convert to fraction form
    118,712/241,820 = 241,820/x
  3. Step 3: Cross multiply
    118,712x = 241,820 × 241,820
  4. Step 4: Simplify right side
    118,712x = 58,476,912,400
  5. Step 5: Solve for x
    x = 58,476,912,400/118,712
  6. Step 6: Final answer
    x = 492,594.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.