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Finding the Third Proportional to 119,861.50 and 258,404

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Solution

The third proportional to 119,861.50 and 258,404 is: 557,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,861.50 : 258,404 = 258,404 : x
  2. Step 2: Convert to fraction form
    119,861.50/258,404 = 258,404/x
  3. Step 3: Cross multiply
    119,861.50x = 258,404 × 258,404
  4. Step 4: Simplify right side
    119,861.50x = 66,772,627,216
  5. Step 5: Solve for x
    x = 66,772,627,216/119,861.50
  6. Step 6: Final answer
    x = 557,081.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.