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Finding the Third Proportional to 118,310.75 and 256,583.50

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Solution

The third proportional to 118,310.75 and 256,583.50 is: 556,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,310.75 : 256,583.50 = 256,583.50 : x
  2. Step 2: Convert to fraction form
    118,310.75/256,583.50 = 256,583.50/x
  3. Step 3: Cross multiply
    118,310.75x = 256,583.50 × 256,583.50
  4. Step 4: Simplify right side
    118,310.75x = 65,835,092,472.25
  5. Step 5: Solve for x
    x = 65,835,092,472.25/118,310.75
  6. Step 6: Final answer
    x = 556,459.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.