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Finding the Third Proportional to 190,733 and 414,239

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Solution

The third proportional to 190,733 and 414,239 is: 899,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,733 : 414,239 = 414,239 : x
  2. Step 2: Convert to fraction form
    190,733/414,239 = 414,239/x
  3. Step 3: Cross multiply
    190,733x = 414,239 × 414,239
  4. Step 4: Simplify right side
    190,733x = 171,593,949,121
  5. Step 5: Solve for x
    x = 171,593,949,121/190,733
  6. Step 6: Final answer
    x = 899,655.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.