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Finding the Third Proportional to 176,163 and 251,014

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Solution

The third proportional to 176,163 and 251,014 is: 357,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,163 : 251,014 = 251,014 : x
  2. Step 2: Convert to fraction form
    176,163/251,014 = 251,014/x
  3. Step 3: Cross multiply
    176,163x = 251,014 × 251,014
  4. Step 4: Simplify right side
    176,163x = 63,008,028,196
  5. Step 5: Solve for x
    x = 63,008,028,196/176,163
  6. Step 6: Final answer
    x = 357,668.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.