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Finding the Third Proportional to 80,490.75 and 174,810

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Solution

The third proportional to 80,490.75 and 174,810 is: 379,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,490.75 : 174,810 = 174,810 : x
  2. Step 2: Convert to fraction form
    80,490.75/174,810 = 174,810/x
  3. Step 3: Cross multiply
    80,490.75x = 174,810 × 174,810
  4. Step 4: Simplify right side
    80,490.75x = 30,558,536,100
  5. Step 5: Solve for x
    x = 30,558,536,100/80,490.75
  6. Step 6: Final answer
    x = 379,652.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.