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Finding the Third Proportional to 179,174 and 251,139

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Solution

The third proportional to 179,174 and 251,139 is: 352,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,174 : 251,139 = 251,139 : x
  2. Step 2: Convert to fraction form
    179,174/251,139 = 251,139/x
  3. Step 3: Cross multiply
    179,174x = 251,139 × 251,139
  4. Step 4: Simplify right side
    179,174x = 63,070,797,321
  5. Step 5: Solve for x
    x = 63,070,797,321/179,174
  6. Step 6: Final answer
    x = 352,008.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.