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Finding the Third Proportional to 190,292.75 and 414,488.50

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Solution

The third proportional to 190,292.75 and 414,488.50 is: 902,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,292.75 : 414,488.50 = 414,488.50 : x
  2. Step 2: Convert to fraction form
    190,292.75/414,488.50 = 414,488.50/x
  3. Step 3: Cross multiply
    190,292.75x = 414,488.50 × 414,488.50
  4. Step 4: Simplify right side
    190,292.75x = 171,800,716,632.25
  5. Step 5: Solve for x
    x = 171,800,716,632.25/190,292.75
  6. Step 6: Final answer
    x = 902,823.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.