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Finding the Third Proportional to 169,226.16 and 371,662.88

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Solution

The third proportional to 169,226.16 and 371,662.88 is: 816,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,226.16 : 371,662.88 = 371,662.88 : x
  2. Step 2: Convert to fraction form
    169,226.16/371,662.88 = 371,662.88/x
  3. Step 3: Cross multiply
    169,226.16x = 371,662.88 × 371,662.88
  4. Step 4: Simplify right side
    169,226.16x = 138,133,292,653.27
  5. Step 5: Solve for x
    x = 138,133,292,653.27/169,226.16
  6. Step 6: Final answer
    x = 816,264.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.