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Finding the Third Proportional to 188,526 and 406,564

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Solution

The third proportional to 188,526 and 406,564 is: 876,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,526 : 406,564 = 406,564 : x
  2. Step 2: Convert to fraction form
    188,526/406,564 = 406,564/x
  3. Step 3: Cross multiply
    188,526x = 406,564 × 406,564
  4. Step 4: Simplify right side
    188,526x = 165,294,286,096
  5. Step 5: Solve for x
    x = 165,294,286,096/188,526
  6. Step 6: Final answer
    x = 876,771.83

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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.