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Finding the Third Proportional to 180,177 and 276,373.50

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Solution

The third proportional to 180,177 and 276,373.50 is: 423,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,177 : 276,373.50 = 276,373.50 : x
  2. Step 2: Convert to fraction form
    180,177/276,373.50 = 276,373.50/x
  3. Step 3: Cross multiply
    180,177x = 276,373.50 × 276,373.50
  4. Step 4: Simplify right side
    180,177x = 76,382,311,502.25
  5. Step 5: Solve for x
    x = 76,382,311,502.25/180,177
  6. Step 6: Final answer
    x = 423,929.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.