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Finding the Third Proportional to 241,256.25 and 354,863.25

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Solution

The third proportional to 241,256.25 and 354,863.25 is: 521,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,256.25 : 354,863.25 = 354,863.25 : x
  2. Step 2: Convert to fraction form
    241,256.25/354,863.25 = 354,863.25/x
  3. Step 3: Cross multiply
    241,256.25x = 354,863.25 × 354,863.25
  4. Step 4: Simplify right side
    241,256.25x = 125,927,926,200.56
  5. Step 5: Solve for x
    x = 125,927,926,200.56/241,256.25
  6. Step 6: Final answer
    x = 521,967.52

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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.