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Finding the Third Proportional to 246,085.50 and 380,016

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Solution

The third proportional to 246,085.50 and 380,016 is: 586,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,085.50 : 380,016 = 380,016 : x
  2. Step 2: Convert to fraction form
    246,085.50/380,016 = 380,016/x
  3. Step 3: Cross multiply
    246,085.50x = 380,016 × 380,016
  4. Step 4: Simplify right side
    246,085.50x = 144,412,160,256
  5. Step 5: Solve for x
    x = 144,412,160,256/246,085.50
  6. Step 6: Final answer
    x = 586,837.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.