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Finding the Third Proportional to 175,035.75 and 271,554

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Solution

The third proportional to 175,035.75 and 271,554 is: 421,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,035.75 : 271,554 = 271,554 : x
  2. Step 2: Convert to fraction form
    175,035.75/271,554 = 271,554/x
  3. Step 3: Cross multiply
    175,035.75x = 271,554 × 271,554
  4. Step 4: Simplify right side
    175,035.75x = 73,741,574,916
  5. Step 5: Solve for x
    x = 73,741,574,916/175,035.75
  6. Step 6: Final answer
    x = 421,294.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.