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Finding the Third Proportional to 127,714 and 278,756

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Solution

The third proportional to 127,714 and 278,756 is: 608,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,714 : 278,756 = 278,756 : x
  2. Step 2: Convert to fraction form
    127,714/278,756 = 278,756/x
  3. Step 3: Cross multiply
    127,714x = 278,756 × 278,756
  4. Step 4: Simplify right side
    127,714x = 77,704,907,536
  5. Step 5: Solve for x
    x = 77,704,907,536/127,714
  6. Step 6: Final answer
    x = 608,429.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.