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Finding the Third Proportional to 213,040.13 and 331,386.19

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Solution

The third proportional to 213,040.13 and 331,386.19 is: 515,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,040.13 : 331,386.19 = 331,386.19 : x
  2. Step 2: Convert to fraction form
    213,040.13/331,386.19 = 331,386.19/x
  3. Step 3: Cross multiply
    213,040.13x = 331,386.19 × 331,386.19
  4. Step 4: Simplify right side
    213,040.13x = 109,816,805,265.79
  5. Step 5: Solve for x
    x = 109,816,805,265.79/213,040.13
  6. Step 6: Final answer
    x = 515,474.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.