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Finding the Third Proportional to 241,845.75 and 362,728.13

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Solution

The third proportional to 241,845.75 and 362,728.13 is: 544,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,845.75 : 362,728.13 = 362,728.13 : x
  2. Step 2: Convert to fraction form
    241,845.75/362,728.13 = 362,728.13/x
  3. Step 3: Cross multiply
    241,845.75x = 362,728.13 × 362,728.13
  4. Step 4: Simplify right side
    241,845.75x = 131,571,692,666.02
  5. Step 5: Solve for x
    x = 131,571,692,666.02/241,845.75
  6. Step 6: Final answer
    x = 544,031.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.