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Finding the Third Proportional to 272,012 and 299,714

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Solution

The third proportional to 272,012 and 299,714 is: 330,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,012 : 299,714 = 299,714 : x
  2. Step 2: Convert to fraction form
    272,012/299,714 = 299,714/x
  3. Step 3: Cross multiply
    272,012x = 299,714 × 299,714
  4. Step 4: Simplify right side
    272,012x = 89,828,481,796
  5. Step 5: Solve for x
    x = 89,828,481,796/272,012
  6. Step 6: Final answer
    x = 330,237.20

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.