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Finding the Third Proportional to 192,503.25 and 463,762.13

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Solution

The third proportional to 192,503.25 and 463,762.13 is: 1,117,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,503.25 : 463,762.13 = 463,762.13 : x
  2. Step 2: Convert to fraction form
    192,503.25/463,762.13 = 463,762.13/x
  3. Step 3: Cross multiply
    192,503.25x = 463,762.13 × 463,762.13
  4. Step 4: Simplify right side
    192,503.25x = 215,075,308,584.52
  5. Step 5: Solve for x
    x = 215,075,308,584.52/192,503.25
  6. Step 6: Final answer
    x = 1,117,255.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.