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Finding the Third Proportional to 183,686 and 283,713.25

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Solution

The third proportional to 183,686 and 283,713.25 is: 438,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,686 : 283,713.25 = 283,713.25 : x
  2. Step 2: Convert to fraction form
    183,686/283,713.25 = 283,713.25/x
  3. Step 3: Cross multiply
    183,686x = 283,713.25 × 283,713.25
  4. Step 4: Simplify right side
    183,686x = 80,493,208,225.56
  5. Step 5: Solve for x
    x = 80,493,208,225.56/183,686
  6. Step 6: Final answer
    x = 438,210.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.