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Finding the Third Proportional to 272,766 and 366,914

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Solution

The third proportional to 272,766 and 366,914 is: 493,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,766 : 366,914 = 366,914 : x
  2. Step 2: Convert to fraction form
    272,766/366,914 = 366,914/x
  3. Step 3: Cross multiply
    272,766x = 366,914 × 366,914
  4. Step 4: Simplify right side
    272,766x = 134,625,883,396
  5. Step 5: Solve for x
    x = 134,625,883,396/272,766
  6. Step 6: Final answer
    x = 493,558.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.