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Finding the Third Proportional to 132,884 and 290,684

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Solution

The third proportional to 132,884 and 290,684 is: 635,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,884 : 290,684 = 290,684 : x
  2. Step 2: Convert to fraction form
    132,884/290,684 = 290,684/x
  3. Step 3: Cross multiply
    132,884x = 290,684 × 290,684
  4. Step 4: Simplify right side
    132,884x = 84,497,187,856
  5. Step 5: Solve for x
    x = 84,497,187,856/132,884
  6. Step 6: Final answer
    x = 635,871.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.