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Finding the Third Proportional to 144,993 and 221,822.50

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Solution

The third proportional to 144,993 and 221,822.50 is: 339,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,993 : 221,822.50 = 221,822.50 : x
  2. Step 2: Convert to fraction form
    144,993/221,822.50 = 221,822.50/x
  3. Step 3: Cross multiply
    144,993x = 221,822.50 × 221,822.50
  4. Step 4: Simplify right side
    144,993x = 49,205,221,506.25
  5. Step 5: Solve for x
    x = 49,205,221,506.25/144,993
  6. Step 6: Final answer
    x = 339,362.74

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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.