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Finding the Third Proportional to 196,104.38 and 423,312.75

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Solution

The third proportional to 196,104.38 and 423,312.75 is: 913,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,104.38 : 423,312.75 = 423,312.75 : x
  2. Step 2: Convert to fraction form
    196,104.38/423,312.75 = 423,312.75/x
  3. Step 3: Cross multiply
    196,104.38x = 423,312.75 × 423,312.75
  4. Step 4: Simplify right side
    196,104.38x = 179,193,684,312.56
  5. Step 5: Solve for x
    x = 179,193,684,312.56/196,104.38
  6. Step 6: Final answer
    x = 913,766.89

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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.