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Finding the Third Proportional to 147,884.50 and 241,459.50

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Solution

The third proportional to 147,884.50 and 241,459.50 is: 394,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,884.50 : 241,459.50 = 241,459.50 : x
  2. Step 2: Convert to fraction form
    147,884.50/241,459.50 = 241,459.50/x
  3. Step 3: Cross multiply
    147,884.50x = 241,459.50 × 241,459.50
  4. Step 4: Simplify right side
    147,884.50x = 58,302,690,140.25
  5. Step 5: Solve for x
    x = 58,302,690,140.25/147,884.50
  6. Step 6: Final answer
    x = 394,244.77

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.