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Finding the Third Proportional to 162,036 and 256,374

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Solution

The third proportional to 162,036 and 256,374 is: 405,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,036 : 256,374 = 256,374 : x
  2. Step 2: Convert to fraction form
    162,036/256,374 = 256,374/x
  3. Step 3: Cross multiply
    162,036x = 256,374 × 256,374
  4. Step 4: Simplify right side
    162,036x = 65,727,627,876
  5. Step 5: Solve for x
    x = 65,727,627,876/162,036
  6. Step 6: Final answer
    x = 405,635.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.