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Finding the Third Proportional to 176,406 and 266,247

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Solution

The third proportional to 176,406 and 266,247 is: 401,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,406 : 266,247 = 266,247 : x
  2. Step 2: Convert to fraction form
    176,406/266,247 = 266,247/x
  3. Step 3: Cross multiply
    176,406x = 266,247 × 266,247
  4. Step 4: Simplify right side
    176,406x = 70,887,465,009
  5. Step 5: Solve for x
    x = 70,887,465,009/176,406
  6. Step 6: Final answer
    x = 401,842.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.