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Finding the Third Proportional to 176,769 and 384,275

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Solution

The third proportional to 176,769 and 384,275 is: 835,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,769 : 384,275 = 384,275 : x
  2. Step 2: Convert to fraction form
    176,769/384,275 = 384,275/x
  3. Step 3: Cross multiply
    176,769x = 384,275 × 384,275
  4. Step 4: Simplify right side
    176,769x = 147,667,275,625
  5. Step 5: Solve for x
    x = 147,667,275,625/176,769
  6. Step 6: Final answer
    x = 835,368.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.