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Finding the Third Proportional to 171,446.63 and 371,496.38

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Solution

The third proportional to 171,446.63 and 371,496.38 is: 804,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,446.63 : 371,496.38 = 371,496.38 : x
  2. Step 2: Convert to fraction form
    171,446.63/371,496.38 = 371,496.38/x
  3. Step 3: Cross multiply
    171,446.63x = 371,496.38 × 371,496.38
  4. Step 4: Simplify right side
    171,446.63x = 138,009,556,638.14
  5. Step 5: Solve for x
    x = 138,009,556,638.14/171,446.63
  6. Step 6: Final answer
    x = 804,970.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.