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Finding the Third Proportional to 272,786 and 366,942

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Solution

The third proportional to 272,786 and 366,942 is: 493,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,786 : 366,942 = 366,942 : x
  2. Step 2: Convert to fraction form
    272,786/366,942 = 366,942/x
  3. Step 3: Cross multiply
    272,786x = 366,942 × 366,942
  4. Step 4: Simplify right side
    272,786x = 134,646,431,364
  5. Step 5: Solve for x
    x = 134,646,431,364/272,786
  6. Step 6: Final answer
    x = 493,597.29

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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.