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Finding the Third Proportional to 272,446.88 and 373,996.13

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Solution

The third proportional to 272,446.88 and 373,996.13 is: 513,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,446.88 : 373,996.13 = 373,996.13 : x
  2. Step 2: Convert to fraction form
    272,446.88/373,996.13 = 373,996.13/x
  3. Step 3: Cross multiply
    272,446.88x = 373,996.13 × 373,996.13
  4. Step 4: Simplify right side
    272,446.88x = 139,873,101,515.02
  5. Step 5: Solve for x
    x = 139,873,101,515.02/272,446.88
  6. Step 6: Final answer
    x = 513,395.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.