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Finding the Third Proportional to 169,210.50 and 360,939

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Solution

The third proportional to 169,210.50 and 360,939 is: 769,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,210.50 : 360,939 = 360,939 : x
  2. Step 2: Convert to fraction form
    169,210.50/360,939 = 360,939/x
  3. Step 3: Cross multiply
    169,210.50x = 360,939 × 360,939
  4. Step 4: Simplify right side
    169,210.50x = 130,276,961,721
  5. Step 5: Solve for x
    x = 130,276,961,721/169,210.50
  6. Step 6: Final answer
    x = 769,910.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.