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Finding the Third Proportional to 254,262 and 371,846

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Solution

The third proportional to 254,262 and 371,846 is: 543,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,262 : 371,846 = 371,846 : x
  2. Step 2: Convert to fraction form
    254,262/371,846 = 371,846/x
  3. Step 3: Cross multiply
    254,262x = 371,846 × 371,846
  4. Step 4: Simplify right side
    254,262x = 138,269,447,716
  5. Step 5: Solve for x
    x = 138,269,447,716/254,262
  6. Step 6: Final answer
    x = 543,806.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.