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Finding the Third Proportional to 196,859.50 and 406,842

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Solution

The third proportional to 196,859.50 and 406,842 is: 840,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,859.50 : 406,842 = 406,842 : x
  2. Step 2: Convert to fraction form
    196,859.50/406,842 = 406,842/x
  3. Step 3: Cross multiply
    196,859.50x = 406,842 × 406,842
  4. Step 4: Simplify right side
    196,859.50x = 165,520,412,964
  5. Step 5: Solve for x
    x = 165,520,412,964/196,859.50
  6. Step 6: Final answer
    x = 840,804.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.