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Finding the Third Proportional to 190,609.50 and 407,395.50

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Solution

The third proportional to 190,609.50 and 407,395.50 is: 870,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,609.50 : 407,395.50 = 407,395.50 : x
  2. Step 2: Convert to fraction form
    190,609.50/407,395.50 = 407,395.50/x
  3. Step 3: Cross multiply
    190,609.50x = 407,395.50 × 407,395.50
  4. Step 4: Simplify right side
    190,609.50x = 165,971,093,420.25
  5. Step 5: Solve for x
    x = 165,971,093,420.25/190,609.50
  6. Step 6: Final answer
    x = 870,738.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.