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Finding the Third Proportional to 143,766 and 225,013.50

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Solution

The third proportional to 143,766 and 225,013.50 is: 352,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,766 : 225,013.50 = 225,013.50 : x
  2. Step 2: Convert to fraction form
    143,766/225,013.50 = 225,013.50/x
  3. Step 3: Cross multiply
    143,766x = 225,013.50 × 225,013.50
  4. Step 4: Simplify right side
    143,766x = 50,631,075,182.25
  5. Step 5: Solve for x
    x = 50,631,075,182.25/143,766
  6. Step 6: Final answer
    x = 352,176.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.