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Finding the Third Proportional to 252,096 and 337,806

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Solution

The third proportional to 252,096 and 337,806 is: 452,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,096 : 337,806 = 337,806 : x
  2. Step 2: Convert to fraction form
    252,096/337,806 = 337,806/x
  3. Step 3: Cross multiply
    252,096x = 337,806 × 337,806
  4. Step 4: Simplify right side
    252,096x = 114,112,893,636
  5. Step 5: Solve for x
    x = 114,112,893,636/252,096
  6. Step 6: Final answer
    x = 452,656.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.