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Finding the Third Proportional to 216,139.50 and 347,274

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Solution

The third proportional to 216,139.50 and 347,274 is: 557,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,139.50 : 347,274 = 347,274 : x
  2. Step 2: Convert to fraction form
    216,139.50/347,274 = 347,274/x
  3. Step 3: Cross multiply
    216,139.50x = 347,274 × 347,274
  4. Step 4: Simplify right side
    216,139.50x = 120,599,231,076
  5. Step 5: Solve for x
    x = 120,599,231,076/216,139.50
  6. Step 6: Final answer
    x = 557,969.42

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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.