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Finding the Third Proportional to 169,566.75 and 262,439.16

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Solution

The third proportional to 169,566.75 and 262,439.16 is: 406,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,566.75 : 262,439.16 = 262,439.16 : x
  2. Step 2: Convert to fraction form
    169,566.75/262,439.16 = 262,439.16/x
  3. Step 3: Cross multiply
    169,566.75x = 262,439.16 × 262,439.16
  4. Step 4: Simplify right side
    169,566.75x = 68,874,310,733.21
  5. Step 5: Solve for x
    x = 68,874,310,733.21/169,566.75
  6. Step 6: Final answer
    x = 406,178.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.