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Finding the Third Proportional to 103,184 and 154,302

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Solution

The third proportional to 103,184 and 154,302 is: 230,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,184 : 154,302 = 154,302 : x
  2. Step 2: Convert to fraction form
    103,184/154,302 = 154,302/x
  3. Step 3: Cross multiply
    103,184x = 154,302 × 154,302
  4. Step 4: Simplify right side
    103,184x = 23,809,107,204
  5. Step 5: Solve for x
    x = 23,809,107,204/103,184
  6. Step 6: Final answer
    x = 230,744.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.