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Finding the Third Proportional to 171,091.13 and 255,235.50

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Solution

The third proportional to 171,091.13 and 255,235.50 is: 380,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,091.13 : 255,235.50 = 255,235.50 : x
  2. Step 2: Convert to fraction form
    171,091.13/255,235.50 = 255,235.50/x
  3. Step 3: Cross multiply
    171,091.13x = 255,235.50 × 255,235.50
  4. Step 4: Simplify right side
    171,091.13x = 65,145,160,460.25
  5. Step 5: Solve for x
    x = 65,145,160,460.25/171,091.13
  6. Step 6: Final answer
    x = 380,762.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.