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Finding the Third Proportional to 166,062.75 and 256,459.50

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Solution

The third proportional to 166,062.75 and 256,459.50 is: 396,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,062.75 : 256,459.50 = 256,459.50 : x
  2. Step 2: Convert to fraction form
    166,062.75/256,459.50 = 256,459.50/x
  3. Step 3: Cross multiply
    166,062.75x = 256,459.50 × 256,459.50
  4. Step 4: Simplify right side
    166,062.75x = 65,771,475,140.25
  5. Step 5: Solve for x
    x = 65,771,475,140.25/166,062.75
  6. Step 6: Final answer
    x = 396,063.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.