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Finding the Third Proportional to 196,113.75 and 423,329.25

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Solution

The third proportional to 196,113.75 and 423,329.25 is: 913,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,113.75 : 423,329.25 = 423,329.25 : x
  2. Step 2: Convert to fraction form
    196,113.75/423,329.25 = 423,329.25/x
  3. Step 3: Cross multiply
    196,113.75x = 423,329.25 × 423,329.25
  4. Step 4: Simplify right side
    196,113.75x = 179,207,653,905.56
  5. Step 5: Solve for x
    x = 179,207,653,905.56/196,113.75
  6. Step 6: Final answer
    x = 913,794.44

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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.