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Finding the Third Proportional to 190,851 and 414,588

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Solution

The third proportional to 190,851 and 414,588 is: 900,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,851 : 414,588 = 414,588 : x
  2. Step 2: Convert to fraction form
    190,851/414,588 = 414,588/x
  3. Step 3: Cross multiply
    190,851x = 414,588 × 414,588
  4. Step 4: Simplify right side
    190,851x = 171,883,209,744
  5. Step 5: Solve for x
    x = 171,883,209,744/190,851
  6. Step 6: Final answer
    x = 900,614.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.