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Finding the Third Proportional to 192,969 and 418,135.50

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Solution

The third proportional to 192,969 and 418,135.50 is: 906,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,969 : 418,135.50 = 418,135.50 : x
  2. Step 2: Convert to fraction form
    192,969/418,135.50 = 418,135.50/x
  3. Step 3: Cross multiply
    192,969x = 418,135.50 × 418,135.50
  4. Step 4: Simplify right side
    192,969x = 174,837,296,360.25
  5. Step 5: Solve for x
    x = 174,837,296,360.25/192,969
  6. Step 6: Final answer
    x = 906,038.26

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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.