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Finding the Third Proportional to 147,890.25 and 241,465.88

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Solution

The third proportional to 147,890.25 and 241,465.88 is: 394,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,890.25 : 241,465.88 = 241,465.88 : x
  2. Step 2: Convert to fraction form
    147,890.25/241,465.88 = 241,465.88/x
  3. Step 3: Cross multiply
    147,890.25x = 241,465.88 × 241,465.88
  4. Step 4: Simplify right side
    147,890.25x = 58,305,768,789.52
  5. Step 5: Solve for x
    x = 58,305,768,789.52/147,890.25
  6. Step 6: Final answer
    x = 394,250.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.