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Finding the Third Proportional to 169,986 and 360,161.50

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Solution

The third proportional to 169,986 and 360,161.50 is: 763,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,986 : 360,161.50 = 360,161.50 : x
  2. Step 2: Convert to fraction form
    169,986/360,161.50 = 360,161.50/x
  3. Step 3: Cross multiply
    169,986x = 360,161.50 × 360,161.50
  4. Step 4: Simplify right side
    169,986x = 129,716,306,082.25
  5. Step 5: Solve for x
    x = 129,716,306,082.25/169,986
  6. Step 6: Final answer
    x = 763,099.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.