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Finding the Third Proportional to 190,360 and 418,103

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Solution

The third proportional to 190,360 and 418,103 is: 918,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,360 : 418,103 = 418,103 : x
  2. Step 2: Convert to fraction form
    190,360/418,103 = 418,103/x
  3. Step 3: Cross multiply
    190,360x = 418,103 × 418,103
  4. Step 4: Simplify right side
    190,360x = 174,810,118,609
  5. Step 5: Solve for x
    x = 174,810,118,609/190,360
  6. Step 6: Final answer
    x = 918,313.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.