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Finding the Third Proportional to 185,184 and 262,206

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Solution

The third proportional to 185,184 and 262,206 is: 371,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,184 : 262,206 = 262,206 : x
  2. Step 2: Convert to fraction form
    185,184/262,206 = 262,206/x
  3. Step 3: Cross multiply
    185,184x = 262,206 × 262,206
  4. Step 4: Simplify right side
    185,184x = 68,751,986,436
  5. Step 5: Solve for x
    x = 68,751,986,436/185,184
  6. Step 6: Final answer
    x = 371,263.10

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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.