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Finding the Third Proportional to 109,512 and 234,576

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Solution

The third proportional to 109,512 and 234,576 is: 502,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,512 : 234,576 = 234,576 : x
  2. Step 2: Convert to fraction form
    109,512/234,576 = 234,576/x
  3. Step 3: Cross multiply
    109,512x = 234,576 × 234,576
  4. Step 4: Simplify right side
    109,512x = 55,025,899,776
  5. Step 5: Solve for x
    x = 55,025,899,776/109,512
  6. Step 6: Final answer
    x = 502,464.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.