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Finding the Third Proportional to 241,240.22 and 354,842.72

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Solution

The third proportional to 241,240.22 and 354,842.72 is: 521,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,240.22 : 354,842.72 = 354,842.72 : x
  2. Step 2: Convert to fraction form
    241,240.22/354,842.72 = 354,842.72/x
  3. Step 3: Cross multiply
    241,240.22x = 354,842.72 × 354,842.72
  4. Step 4: Simplify right side
    241,240.22x = 125,913,355,049.89
  5. Step 5: Solve for x
    x = 125,913,355,049.89/241,240.22
  6. Step 6: Final answer
    x = 521,941.80

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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.