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Finding the Third Proportional to 215,224 and 500,140

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Solution

The third proportional to 215,224 and 500,140 is: 1,162,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,224 : 500,140 = 500,140 : x
  2. Step 2: Convert to fraction form
    215,224/500,140 = 500,140/x
  3. Step 3: Cross multiply
    215,224x = 500,140 × 500,140
  4. Step 4: Simplify right side
    215,224x = 250,140,019,600
  5. Step 5: Solve for x
    x = 250,140,019,600/215,224
  6. Step 6: Final answer
    x = 1,162,231.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.