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Finding the Third Proportional to 161,137 and 345,590

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Solution

The third proportional to 161,137 and 345,590 is: 741,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,137 : 345,590 = 345,590 : x
  2. Step 2: Convert to fraction form
    161,137/345,590 = 345,590/x
  3. Step 3: Cross multiply
    161,137x = 345,590 × 345,590
  4. Step 4: Simplify right side
    161,137x = 119,432,448,100
  5. Step 5: Solve for x
    x = 119,432,448,100/161,137
  6. Step 6: Final answer
    x = 741,185.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.