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Finding the Third Proportional to 233,977.50 and 355,890

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Solution

The third proportional to 233,977.50 and 355,890 is: 541,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,977.50 : 355,890 = 355,890 : x
  2. Step 2: Convert to fraction form
    233,977.50/355,890 = 355,890/x
  3. Step 3: Cross multiply
    233,977.50x = 355,890 × 355,890
  4. Step 4: Simplify right side
    233,977.50x = 126,657,692,100
  5. Step 5: Solve for x
    x = 126,657,692,100/233,977.50
  6. Step 6: Final answer
    x = 541,324.24

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