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Finding the Third Proportional to 160,318 and 250,181

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Solution

The third proportional to 160,318 and 250,181 is: 390,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,318 : 250,181 = 250,181 : x
  2. Step 2: Convert to fraction form
    160,318/250,181 = 250,181/x
  3. Step 3: Cross multiply
    160,318x = 250,181 × 250,181
  4. Step 4: Simplify right side
    160,318x = 62,590,532,761
  5. Step 5: Solve for x
    x = 62,590,532,761/160,318
  6. Step 6: Final answer
    x = 390,414.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.