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Finding the Third Proportional to 232,836.75 and 355,937.63

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Solution

The third proportional to 232,836.75 and 355,937.63 is: 544,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,836.75 : 355,937.63 = 355,937.63 : x
  2. Step 2: Convert to fraction form
    232,836.75/355,937.63 = 355,937.63/x
  3. Step 3: Cross multiply
    232,836.75x = 355,937.63 × 355,937.63
  4. Step 4: Simplify right side
    232,836.75x = 126,691,592,890.64
  5. Step 5: Solve for x
    x = 126,691,592,890.64/232,836.75
  6. Step 6: Final answer
    x = 544,121.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.