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Finding the Third Proportional to 180,156 and 269,224

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Solution

The third proportional to 180,156 and 269,224 is: 402,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,156 : 269,224 = 269,224 : x
  2. Step 2: Convert to fraction form
    180,156/269,224 = 269,224/x
  3. Step 3: Cross multiply
    180,156x = 269,224 × 269,224
  4. Step 4: Simplify right side
    180,156x = 72,481,562,176
  5. Step 5: Solve for x
    x = 72,481,562,176/180,156
  6. Step 6: Final answer
    x = 402,326.66

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Why These Related Problems?

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