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Finding the Third Proportional to 192,325.88 and 418,516.13

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Solution

The third proportional to 192,325.88 and 418,516.13 is: 910,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,325.88 : 418,516.13 = 418,516.13 : x
  2. Step 2: Convert to fraction form
    192,325.88/418,516.13 = 418,516.13/x
  3. Step 3: Cross multiply
    192,325.88x = 418,516.13 × 418,516.13
  4. Step 4: Simplify right side
    192,325.88x = 175,155,746,885.02
  5. Step 5: Solve for x
    x = 175,155,746,885.02/192,325.88
  6. Step 6: Final answer
    x = 910,723.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.