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Finding the Third Proportional to 186,096 and 406,944

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Solution

The third proportional to 186,096 and 406,944 is: 889,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,096 : 406,944 = 406,944 : x
  2. Step 2: Convert to fraction form
    186,096/406,944 = 406,944/x
  3. Step 3: Cross multiply
    186,096x = 406,944 × 406,944
  4. Step 4: Simplify right side
    186,096x = 165,603,419,136
  5. Step 5: Solve for x
    x = 165,603,419,136/186,096
  6. Step 6: Final answer
    x = 889,881.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.