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Finding the Third Proportional to 162,589 and 250,223

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Solution

The third proportional to 162,589 and 250,223 is: 385,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,589 : 250,223 = 250,223 : x
  2. Step 2: Convert to fraction form
    162,589/250,223 = 250,223/x
  3. Step 3: Cross multiply
    162,589x = 250,223 × 250,223
  4. Step 4: Simplify right side
    162,589x = 62,611,549,729
  5. Step 5: Solve for x
    x = 62,611,549,729/162,589
  6. Step 6: Final answer
    x = 385,090.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.