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Finding the Third Proportional to 186,706 and 409,699

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Solution

The third proportional to 186,706 and 409,699 is: 899,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,706 : 409,699 = 409,699 : x
  2. Step 2: Convert to fraction form
    186,706/409,699 = 409,699/x
  3. Step 3: Cross multiply
    186,706x = 409,699 × 409,699
  4. Step 4: Simplify right side
    186,706x = 167,853,270,601
  5. Step 5: Solve for x
    x = 167,853,270,601/186,706
  6. Step 6: Final answer
    x = 899,024.51

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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.