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Finding the Third Proportional to 169,888 and 237,616

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Solution

The third proportional to 169,888 and 237,616 is: 332,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,888 : 237,616 = 237,616 : x
  2. Step 2: Convert to fraction form
    169,888/237,616 = 237,616/x
  3. Step 3: Cross multiply
    169,888x = 237,616 × 237,616
  4. Step 4: Simplify right side
    169,888x = 56,461,363,456
  5. Step 5: Solve for x
    x = 56,461,363,456/169,888
  6. Step 6: Final answer
    x = 332,344.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.