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Finding the Third Proportional to 131,418 and 287,714

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Solution

The third proportional to 131,418 and 287,714 is: 629,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,418 : 287,714 = 287,714 : x
  2. Step 2: Convert to fraction form
    131,418/287,714 = 287,714/x
  3. Step 3: Cross multiply
    131,418x = 287,714 × 287,714
  4. Step 4: Simplify right side
    131,418x = 82,779,345,796
  5. Step 5: Solve for x
    x = 82,779,345,796/131,418
  6. Step 6: Final answer
    x = 629,893.51

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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.