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Finding the Third Proportional to 241,321.78 and 354,499.03

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Solution

The third proportional to 241,321.78 and 354,499.03 is: 520,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,321.78 : 354,499.03 = 354,499.03 : x
  2. Step 2: Convert to fraction form
    241,321.78/354,499.03 = 354,499.03/x
  3. Step 3: Cross multiply
    241,321.78x = 354,499.03 × 354,499.03
  4. Step 4: Simplify right side
    241,321.78x = 125,669,563,157.19
  5. Step 5: Solve for x
    x = 125,669,563,157.19/241,321.78
  6. Step 6: Final answer
    x = 520,755.16

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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.