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Finding the Third Proportional to 190,456.50 and 295,855.50

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Solution

The third proportional to 190,456.50 and 295,855.50 is: 459,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,456.50 : 295,855.50 = 295,855.50 : x
  2. Step 2: Convert to fraction form
    190,456.50/295,855.50 = 295,855.50/x
  3. Step 3: Cross multiply
    190,456.50x = 295,855.50 × 295,855.50
  4. Step 4: Simplify right side
    190,456.50x = 87,530,476,880.25
  5. Step 5: Solve for x
    x = 87,530,476,880.25/190,456.50
  6. Step 6: Final answer
    x = 459,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.