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Finding the Third Proportional to 241,234.45 and 354,835.05

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Solution

The third proportional to 241,234.45 and 354,835.05 is: 521,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,234.45 : 354,835.05 = 354,835.05 : x
  2. Step 2: Convert to fraction form
    241,234.45/354,835.05 = 354,835.05/x
  3. Step 3: Cross multiply
    241,234.45x = 354,835.05 × 354,835.05
  4. Step 4: Simplify right side
    241,234.45x = 125,907,916,035.08
  5. Step 5: Solve for x
    x = 125,907,916,035.08/241,234.45
  6. Step 6: Final answer
    x = 521,931.73

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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.