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Finding the Third Proportional to 223,659.75 and 466,180.50

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Solution

The third proportional to 223,659.75 and 466,180.50 is: 971,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,659.75 : 466,180.50 = 466,180.50 : x
  2. Step 2: Convert to fraction form
    223,659.75/466,180.50 = 466,180.50/x
  3. Step 3: Cross multiply
    223,659.75x = 466,180.50 × 466,180.50
  4. Step 4: Simplify right side
    223,659.75x = 217,324,258,580.25
  5. Step 5: Solve for x
    x = 217,324,258,580.25/223,659.75
  6. Step 6: Final answer
    x = 971,673.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.