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Finding the Third Proportional to 118,624 and 241,984

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Solution

The third proportional to 118,624 and 241,984 is: 493,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,624 : 241,984 = 241,984 : x
  2. Step 2: Convert to fraction form
    118,624/241,984 = 241,984/x
  3. Step 3: Cross multiply
    118,624x = 241,984 × 241,984
  4. Step 4: Simplify right side
    118,624x = 58,556,256,256
  5. Step 5: Solve for x
    x = 58,556,256,256/118,624
  6. Step 6: Final answer
    x = 493,629.08

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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.