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Finding the Third Proportional to 196,209.50 and 415,765.50

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Solution

The third proportional to 196,209.50 and 415,765.50 is: 881,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,209.50 : 415,765.50 = 415,765.50 : x
  2. Step 2: Convert to fraction form
    196,209.50/415,765.50 = 415,765.50/x
  3. Step 3: Cross multiply
    196,209.50x = 415,765.50 × 415,765.50
  4. Step 4: Simplify right side
    196,209.50x = 172,860,950,990.25
  5. Step 5: Solve for x
    x = 172,860,950,990.25/196,209.50
  6. Step 6: Final answer
    x = 881,001.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.