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Finding the Third Proportional to 70,344 and 162,707

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Solution

The third proportional to 70,344 and 162,707 is: 376,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,344 : 162,707 = 162,707 : x
  2. Step 2: Convert to fraction form
    70,344/162,707 = 162,707/x
  3. Step 3: Cross multiply
    70,344x = 162,707 × 162,707
  4. Step 4: Simplify right side
    70,344x = 26,473,567,849
  5. Step 5: Solve for x
    x = 26,473,567,849/70,344
  6. Step 6: Final answer
    x = 376,344.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.