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Finding the Third Proportional to 162,500 and 362,343

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Solution

The third proportional to 162,500 and 362,343 is: 807,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,500 : 362,343 = 362,343 : x
  2. Step 2: Convert to fraction form
    162,500/362,343 = 362,343/x
  3. Step 3: Cross multiply
    162,500x = 362,343 × 362,343
  4. Step 4: Simplify right side
    162,500x = 131,292,449,649
  5. Step 5: Solve for x
    x = 131,292,449,649/162,500
  6. Step 6: Final answer
    x = 807,953.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.