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Finding the Third Proportional to 241,202.81 and 354,582.56

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Solution

The third proportional to 241,202.81 and 354,582.56 is: 521,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,202.81 : 354,582.56 = 354,582.56 : x
  2. Step 2: Convert to fraction form
    241,202.81/354,582.56 = 354,582.56/x
  3. Step 3: Cross multiply
    241,202.81x = 354,582.56 × 354,582.56
  4. Step 4: Simplify right side
    241,202.81x = 125,728,793,629.07
  5. Step 5: Solve for x
    x = 125,728,793,629.07/241,202.81
  6. Step 6: Final answer
    x = 521,257.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.