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Finding the Third Proportional to 216,117.38 and 347,241.75

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Solution

The third proportional to 216,117.38 and 347,241.75 is: 557,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,117.38 : 347,241.75 = 347,241.75 : x
  2. Step 2: Convert to fraction form
    216,117.38/347,241.75 = 347,241.75/x
  3. Step 3: Cross multiply
    216,117.38x = 347,241.75 × 347,241.75
  4. Step 4: Simplify right side
    216,117.38x = 120,576,832,943.06
  5. Step 5: Solve for x
    x = 120,576,832,943.06/216,117.38
  6. Step 6: Final answer
    x = 557,922.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.