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Finding the Third Proportional to 196,969.50 and 432,234

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Solution

The third proportional to 196,969.50 and 432,234 is: 948,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,969.50 : 432,234 = 432,234 : x
  2. Step 2: Convert to fraction form
    196,969.50/432,234 = 432,234/x
  3. Step 3: Cross multiply
    196,969.50x = 432,234 × 432,234
  4. Step 4: Simplify right side
    196,969.50x = 186,826,230,756
  5. Step 5: Solve for x
    x = 186,826,230,756/196,969.50
  6. Step 6: Final answer
    x = 948,503.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.