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Finding the Third Proportional to 119,218.50 and 260,583.75

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Solution

The third proportional to 119,218.50 and 260,583.75 is: 569,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,218.50 : 260,583.75 = 260,583.75 : x
  2. Step 2: Convert to fraction form
    119,218.50/260,583.75 = 260,583.75/x
  3. Step 3: Cross multiply
    119,218.50x = 260,583.75 × 260,583.75
  4. Step 4: Simplify right side
    119,218.50x = 67,903,890,764.06
  5. Step 5: Solve for x
    x = 67,903,890,764.06/119,218.50
  6. Step 6: Final answer
    x = 569,575.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.