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Finding the Third Proportional to 73,414 and 160,310

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Solution

The third proportional to 73,414 and 160,310 is: 350,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,414 : 160,310 = 160,310 : x
  2. Step 2: Convert to fraction form
    73,414/160,310 = 160,310/x
  3. Step 3: Cross multiply
    73,414x = 160,310 × 160,310
  4. Step 4: Simplify right side
    73,414x = 25,699,296,100
  5. Step 5: Solve for x
    x = 25,699,296,100/73,414
  6. Step 6: Final answer
    x = 350,059.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.