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Finding the Third Proportional to 131,064 and 284,322

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Solution

The third proportional to 131,064 and 284,322 is: 616,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,064 : 284,322 = 284,322 : x
  2. Step 2: Convert to fraction form
    131,064/284,322 = 284,322/x
  3. Step 3: Cross multiply
    131,064x = 284,322 × 284,322
  4. Step 4: Simplify right side
    131,064x = 80,838,999,684
  5. Step 5: Solve for x
    x = 80,838,999,684/131,064
  6. Step 6: Final answer
    x = 616,790.27

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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.