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Finding the Third Proportional to 161,270.63 and 256,206.75

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Solution

The third proportional to 161,270.63 and 256,206.75 is: 407,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,270.63 : 256,206.75 = 256,206.75 : x
  2. Step 2: Convert to fraction form
    161,270.63/256,206.75 = 256,206.75/x
  3. Step 3: Cross multiply
    161,270.63x = 256,206.75 × 256,206.75
  4. Step 4: Simplify right side
    161,270.63x = 65,641,898,745.56
  5. Step 5: Solve for x
    x = 65,641,898,745.56/161,270.63
  6. Step 6: Final answer
    x = 407,029.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.