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Finding the Third Proportional to 176,044 and 380,146

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Solution

The third proportional to 176,044 and 380,146 is: 820,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,044 : 380,146 = 380,146 : x
  2. Step 2: Convert to fraction form
    176,044/380,146 = 380,146/x
  3. Step 3: Cross multiply
    176,044x = 380,146 × 380,146
  4. Step 4: Simplify right side
    176,044x = 144,510,981,316
  5. Step 5: Solve for x
    x = 144,510,981,316/176,044
  6. Step 6: Final answer
    x = 820,879.90

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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.