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Finding the Third Proportional to 196,306.03 and 423,947.67

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Solution

The third proportional to 196,306.03 and 423,947.67 is: 915,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,306.03 : 423,947.67 = 423,947.67 : x
  2. Step 2: Convert to fraction form
    196,306.03/423,947.67 = 423,947.67/x
  3. Step 3: Cross multiply
    196,306.03x = 423,947.67 × 423,947.67
  4. Step 4: Simplify right side
    196,306.03x = 179,731,628,488.23
  5. Step 5: Solve for x
    x = 179,731,628,488.23/196,306.03
  6. Step 6: Final answer
    x = 915,568.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.