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Finding the Third Proportional to 190,455 and 406,221

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Solution

The third proportional to 190,455 and 406,221 is: 866,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,455 : 406,221 = 406,221 : x
  2. Step 2: Convert to fraction form
    190,455/406,221 = 406,221/x
  3. Step 3: Cross multiply
    190,455x = 406,221 × 406,221
  4. Step 4: Simplify right side
    190,455x = 165,015,500,841
  5. Step 5: Solve for x
    x = 165,015,500,841/190,455
  6. Step 6: Final answer
    x = 866,427.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.