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Finding the Third Proportional to 101,230.50 and 241,774.50

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Solution

The third proportional to 101,230.50 and 241,774.50 is: 577,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,230.50 : 241,774.50 = 241,774.50 : x
  2. Step 2: Convert to fraction form
    101,230.50/241,774.50 = 241,774.50/x
  3. Step 3: Cross multiply
    101,230.50x = 241,774.50 × 241,774.50
  4. Step 4: Simplify right side
    101,230.50x = 58,454,908,850.25
  5. Step 5: Solve for x
    x = 58,454,908,850.25/101,230.50
  6. Step 6: Final answer
    x = 577,443.64

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.