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Finding the Third Proportional to 159,536 and 345,488

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Solution

The third proportional to 159,536 and 345,488 is: 748,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536 : 345,488 = 345,488 : x
  2. Step 2: Convert to fraction form
    159,536/345,488 = 345,488/x
  3. Step 3: Cross multiply
    159,536x = 345,488 × 345,488
  4. Step 4: Simplify right side
    159,536x = 119,361,958,144
  5. Step 5: Solve for x
    x = 119,361,958,144/159,536
  6. Step 6: Final answer
    x = 748,181.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.