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Finding the Third Proportional to 169,224.75 and 360,967.50

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Solution

The third proportional to 169,224.75 and 360,967.50 is: 769,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,224.75 : 360,967.50 = 360,967.50 : x
  2. Step 2: Convert to fraction form
    169,224.75/360,967.50 = 360,967.50/x
  3. Step 3: Cross multiply
    169,224.75x = 360,967.50 × 360,967.50
  4. Step 4: Simplify right side
    169,224.75x = 130,297,536,056.25
  5. Step 5: Solve for x
    x = 130,297,536,056.25/169,224.75
  6. Step 6: Final answer
    x = 769,967.37

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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.