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Finding the Third Proportional to 196,572.75 and 418,903.13

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Solution

The third proportional to 196,572.75 and 418,903.13 is: 892,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,572.75 : 418,903.13 = 418,903.13 : x
  2. Step 2: Convert to fraction form
    196,572.75/418,903.13 = 418,903.13/x
  3. Step 3: Cross multiply
    196,572.75x = 418,903.13 × 418,903.13
  4. Step 4: Simplify right side
    196,572.75x = 175,479,828,134.77
  5. Step 5: Solve for x
    x = 175,479,828,134.77/196,572.75
  6. Step 6: Final answer
    x = 892,696.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.