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Finding the Third Proportional to 144,910 and 221,687.50

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Solution

The third proportional to 144,910 and 221,687.50 is: 339,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,910 : 221,687.50 = 221,687.50 : x
  2. Step 2: Convert to fraction form
    144,910/221,687.50 = 221,687.50/x
  3. Step 3: Cross multiply
    144,910x = 221,687.50 × 221,687.50
  4. Step 4: Simplify right side
    144,910x = 49,145,347,656.25
  5. Step 5: Solve for x
    x = 49,145,347,656.25/144,910
  6. Step 6: Final answer
    x = 339,143.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.