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Finding the Third Proportional to 188,586.25 and 406,697

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Solution

The third proportional to 188,586.25 and 406,697 is: 877,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,586.25 : 406,697 = 406,697 : x
  2. Step 2: Convert to fraction form
    188,586.25/406,697 = 406,697/x
  3. Step 3: Cross multiply
    188,586.25x = 406,697 × 406,697
  4. Step 4: Simplify right side
    188,586.25x = 165,402,449,809
  5. Step 5: Solve for x
    x = 165,402,449,809/188,586.25
  6. Step 6: Final answer
    x = 877,065.27

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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.