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Finding the Third Proportional to 134,133 and 284,256

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Solution

The third proportional to 134,133 and 284,256 is: 602,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,133 : 284,256 = 284,256 : x
  2. Step 2: Convert to fraction form
    134,133/284,256 = 284,256/x
  3. Step 3: Cross multiply
    134,133x = 284,256 × 284,256
  4. Step 4: Simplify right side
    134,133x = 80,801,473,536
  5. Step 5: Solve for x
    x = 80,801,473,536/134,133
  6. Step 6: Final answer
    x = 602,398.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.