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Finding the Third Proportional to 113,407 and 241,150

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Solution

The third proportional to 113,407 and 241,150 is: 512,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,407 : 241,150 = 241,150 : x
  2. Step 2: Convert to fraction form
    113,407/241,150 = 241,150/x
  3. Step 3: Cross multiply
    113,407x = 241,150 × 241,150
  4. Step 4: Simplify right side
    113,407x = 58,153,322,500
  5. Step 5: Solve for x
    x = 58,153,322,500/113,407
  6. Step 6: Final answer
    x = 512,784.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.