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Finding the Third Proportional to 241,453.13 and 384,343.88

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Solution

The third proportional to 241,453.13 and 384,343.88 is: 611,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,453.13 : 384,343.88 = 384,343.88 : x
  2. Step 2: Convert to fraction form
    241,453.13/384,343.88 = 384,343.88/x
  3. Step 3: Cross multiply
    241,453.13x = 384,343.88 × 384,343.88
  4. Step 4: Simplify right side
    241,453.13x = 147,720,214,250.02
  5. Step 5: Solve for x
    x = 147,720,214,250.02/241,453.13
  6. Step 6: Final answer
    x = 611,796.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.