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Finding the Third Proportional to 176,382 and 273,192

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Solution

The third proportional to 176,382 and 273,192 is: 423,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,382 : 273,192 = 273,192 : x
  2. Step 2: Convert to fraction form
    176,382/273,192 = 273,192/x
  3. Step 3: Cross multiply
    176,382x = 273,192 × 273,192
  4. Step 4: Simplify right side
    176,382x = 74,633,868,864
  5. Step 5: Solve for x
    x = 74,633,868,864/176,382
  6. Step 6: Final answer
    x = 423,137.67

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Why These Related Problems?

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