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Finding the Third Proportional to 186,734.50 and 409,751

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Solution

The third proportional to 186,734.50 and 409,751 is: 899,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,734.50 : 409,751 = 409,751 : x
  2. Step 2: Convert to fraction form
    186,734.50/409,751 = 409,751/x
  3. Step 3: Cross multiply
    186,734.50x = 409,751 × 409,751
  4. Step 4: Simplify right side
    186,734.50x = 167,895,882,001
  5. Step 5: Solve for x
    x = 167,895,882,001/186,734.50
  6. Step 6: Final answer
    x = 899,115.49

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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.