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Finding the Third Proportional to 234,880 and 516,224

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Solution

The third proportional to 234,880 and 516,224 is: 1,134,567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,880 : 516,224 = 516,224 : x
  2. Step 2: Convert to fraction form
    234,880/516,224 = 516,224/x
  3. Step 3: Cross multiply
    234,880x = 516,224 × 516,224
  4. Step 4: Simplify right side
    234,880x = 266,487,218,176
  5. Step 5: Solve for x
    x = 266,487,218,176/234,880
  6. Step 6: Final answer
    x = 1,134,567.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.