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Finding the Third Proportional to 188,091 and 411,174

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Solution

The third proportional to 188,091 and 411,174 is: 898,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,091 : 411,174 = 411,174 : x
  2. Step 2: Convert to fraction form
    188,091/411,174 = 411,174/x
  3. Step 3: Cross multiply
    188,091x = 411,174 × 411,174
  4. Step 4: Simplify right side
    188,091x = 169,064,058,276
  5. Step 5: Solve for x
    x = 169,064,058,276/188,091
  6. Step 6: Final answer
    x = 898,841.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.