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Finding the Third Proportional to 234,586.13 and 512,182.13

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Solution

The third proportional to 234,586.13 and 512,182.13 is: 1,118,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,586.13 : 512,182.13 = 512,182.13 : x
  2. Step 2: Convert to fraction form
    234,586.13/512,182.13 = 512,182.13/x
  3. Step 3: Cross multiply
    234,586.13x = 512,182.13 × 512,182.13
  4. Step 4: Simplify right side
    234,586.13x = 262,330,529,169.52
  5. Step 5: Solve for x
    x = 262,330,529,169.52/234,586.13
  6. Step 6: Final answer
    x = 1,118,269.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.