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Finding the Third Proportional to 149,715 and 320,174

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Solution

The third proportional to 149,715 and 320,174 is: 684,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715 : 320,174 = 320,174 : x
  2. Step 2: Convert to fraction form
    149,715/320,174 = 320,174/x
  3. Step 3: Cross multiply
    149,715x = 320,174 × 320,174
  4. Step 4: Simplify right side
    149,715x = 102,511,390,276
  5. Step 5: Solve for x
    x = 102,511,390,276/149,715
  6. Step 6: Final answer
    x = 684,710.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.