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Finding the Third Proportional to 176,386 and 273,198

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Solution

The third proportional to 176,386 and 273,198 is: 423,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,386 : 273,198 = 273,198 : x
  2. Step 2: Convert to fraction form
    176,386/273,198 = 273,198/x
  3. Step 3: Cross multiply
    176,386x = 273,198 × 273,198
  4. Step 4: Simplify right side
    176,386x = 74,637,147,204
  5. Step 5: Solve for x
    x = 74,637,147,204/176,386
  6. Step 6: Final answer
    x = 423,146.66

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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.