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Finding the Third Proportional to 185,184.25 and 262,206.38

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Solution

The third proportional to 185,184.25 and 262,206.38 is: 371,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,184.25 : 262,206.38 = 262,206.38 : x
  2. Step 2: Convert to fraction form
    185,184.25/262,206.38 = 262,206.38/x
  3. Step 3: Cross multiply
    185,184.25x = 262,206.38 × 262,206.38
  4. Step 4: Simplify right side
    185,184.25x = 68,752,183,090.64
  5. Step 5: Solve for x
    x = 68,752,183,090.64/185,184.25
  6. Step 6: Final answer
    x = 371,263.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.