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Finding the Third Proportional to 160,159 and 245,668

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Solution

The third proportional to 160,159 and 245,668 is: 376,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,159 : 245,668 = 245,668 : x
  2. Step 2: Convert to fraction form
    160,159/245,668 = 245,668/x
  3. Step 3: Cross multiply
    160,159x = 245,668 × 245,668
  4. Step 4: Simplify right side
    160,159x = 60,352,766,224
  5. Step 5: Solve for x
    x = 60,352,766,224/160,159
  6. Step 6: Final answer
    x = 376,830.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.