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Finding the Third Proportional to 230,131.50 and 476,239.50

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Solution

The third proportional to 230,131.50 and 476,239.50 is: 985,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,131.50 : 476,239.50 = 476,239.50 : x
  2. Step 2: Convert to fraction form
    230,131.50/476,239.50 = 476,239.50/x
  3. Step 3: Cross multiply
    230,131.50x = 476,239.50 × 476,239.50
  4. Step 4: Simplify right side
    230,131.50x = 226,804,061,360.25
  5. Step 5: Solve for x
    x = 226,804,061,360.25/230,131.50
  6. Step 6: Final answer
    x = 985,541.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.