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Finding the Third Proportional to 134,131 and 284,253

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Solution

The third proportional to 134,131 and 284,253 is: 602,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,131 : 284,253 = 284,253 : x
  2. Step 2: Convert to fraction form
    134,131/284,253 = 284,253/x
  3. Step 3: Cross multiply
    134,131x = 284,253 × 284,253
  4. Step 4: Simplify right side
    134,131x = 80,799,768,009
  5. Step 5: Solve for x
    x = 80,799,768,009/134,131
  6. Step 6: Final answer
    x = 602,394.44

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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.