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Finding the Third Proportional to 171,535.50 and 245,072.25

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Solution

The third proportional to 171,535.50 and 245,072.25 is: 350,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,535.50 : 245,072.25 = 245,072.25 : x
  2. Step 2: Convert to fraction form
    171,535.50/245,072.25 = 245,072.25/x
  3. Step 3: Cross multiply
    171,535.50x = 245,072.25 × 245,072.25
  4. Step 4: Simplify right side
    171,535.50x = 60,060,407,720.06
  5. Step 5: Solve for x
    x = 60,060,407,720.06/171,535.50
  6. Step 6: Final answer
    x = 350,133.98

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.