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Finding the Third Proportional to 143,977.50 and 213,178.50

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Solution

The third proportional to 143,977.50 and 213,178.50 is: 315,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,977.50 : 213,178.50 = 213,178.50 : x
  2. Step 2: Convert to fraction form
    143,977.50/213,178.50 = 213,178.50/x
  3. Step 3: Cross multiply
    143,977.50x = 213,178.50 × 213,178.50
  4. Step 4: Simplify right side
    143,977.50x = 45,445,072,862.25
  5. Step 5: Solve for x
    x = 45,445,072,862.25/143,977.50
  6. Step 6: Final answer
    x = 315,640.10

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.