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Finding the Third Proportional to 214,683.75 and 466,269.75

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Solution

The third proportional to 214,683.75 and 466,269.75 is: 1,012,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,683.75 : 466,269.75 = 466,269.75 : x
  2. Step 2: Convert to fraction form
    214,683.75/466,269.75 = 466,269.75/x
  3. Step 3: Cross multiply
    214,683.75x = 466,269.75 × 466,269.75
  4. Step 4: Simplify right side
    214,683.75x = 217,407,479,765.06
  5. Step 5: Solve for x
    x = 217,407,479,765.06/214,683.75
  6. Step 6: Final answer
    x = 1,012,687.17

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Why These Related Problems?

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