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Finding the Third Proportional to 144,146.50 and 219,773.50

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Solution

The third proportional to 144,146.50 and 219,773.50 is: 335,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,146.50 : 219,773.50 = 219,773.50 : x
  2. Step 2: Convert to fraction form
    144,146.50/219,773.50 = 219,773.50/x
  3. Step 3: Cross multiply
    144,146.50x = 219,773.50 × 219,773.50
  4. Step 4: Simplify right side
    144,146.50x = 48,300,391,302.25
  5. Step 5: Solve for x
    x = 48,300,391,302.25/144,146.50
  6. Step 6: Final answer
    x = 335,078.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.