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Finding the Third Proportional to 232,747.50 and 355,890

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Solution

The third proportional to 232,747.50 and 355,890 is: 544,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,747.50 : 355,890 = 355,890 : x
  2. Step 2: Convert to fraction form
    232,747.50/355,890 = 355,890/x
  3. Step 3: Cross multiply
    232,747.50x = 355,890 × 355,890
  4. Step 4: Simplify right side
    232,747.50x = 126,657,692,100
  5. Step 5: Solve for x
    x = 126,657,692,100/232,747.50
  6. Step 6: Final answer
    x = 544,184.97

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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.