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Finding the Third Proportional to 176,364 and 380,601

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Solution

The third proportional to 176,364 and 380,601 is: 821,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,364 : 380,601 = 380,601 : x
  2. Step 2: Convert to fraction form
    176,364/380,601 = 380,601/x
  3. Step 3: Cross multiply
    176,364x = 380,601 × 380,601
  4. Step 4: Simplify right side
    176,364x = 144,857,121,201
  5. Step 5: Solve for x
    x = 144,857,121,201/176,364
  6. Step 6: Final answer
    x = 821,353.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.