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Finding the Third Proportional to 242,824.50 and 368,610.75

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Solution

The third proportional to 242,824.50 and 368,610.75 is: 559,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,824.50 : 368,610.75 = 368,610.75 : x
  2. Step 2: Convert to fraction form
    242,824.50/368,610.75 = 368,610.75/x
  3. Step 3: Cross multiply
    242,824.50x = 368,610.75 × 368,610.75
  4. Step 4: Simplify right side
    242,824.50x = 135,873,885,015.56
  5. Step 5: Solve for x
    x = 135,873,885,015.56/242,824.50
  6. Step 6: Final answer
    x = 559,555.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.