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Finding the Third Proportional to 131,066 and 284,326

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Solution

The third proportional to 131,066 and 284,326 is: 616,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,066 : 284,326 = 284,326 : x
  2. Step 2: Convert to fraction form
    131,066/284,326 = 284,326/x
  3. Step 3: Cross multiply
    131,066x = 284,326 × 284,326
  4. Step 4: Simplify right side
    131,066x = 80,841,274,276
  5. Step 5: Solve for x
    x = 80,841,274,276/131,066
  6. Step 6: Final answer
    x = 616,798.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.