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Finding the Third Proportional to 171,841.50 and 406,302.75

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Solution

The third proportional to 171,841.50 and 406,302.75 is: 960,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,841.50 : 406,302.75 = 406,302.75 : x
  2. Step 2: Convert to fraction form
    171,841.50/406,302.75 = 406,302.75/x
  3. Step 3: Cross multiply
    171,841.50x = 406,302.75 × 406,302.75
  4. Step 4: Simplify right side
    171,841.50x = 165,081,924,657.56
  5. Step 5: Solve for x
    x = 165,081,924,657.56/171,841.50
  6. Step 6: Final answer
    x = 960,663.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.