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Finding the Third Proportional to 132,986 and 284,653

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Solution

The third proportional to 132,986 and 284,653 is: 609,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,986 : 284,653 = 284,653 : x
  2. Step 2: Convert to fraction form
    132,986/284,653 = 284,653/x
  3. Step 3: Cross multiply
    132,986x = 284,653 × 284,653
  4. Step 4: Simplify right side
    132,986x = 81,027,330,409
  5. Step 5: Solve for x
    x = 81,027,330,409/132,986
  6. Step 6: Final answer
    x = 609,292.18

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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.