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Finding the Third Proportional to 225,268.50 and 314,939.25

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Solution

The third proportional to 225,268.50 and 314,939.25 is: 440,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,268.50 : 314,939.25 = 314,939.25 : x
  2. Step 2: Convert to fraction form
    225,268.50/314,939.25 = 314,939.25/x
  3. Step 3: Cross multiply
    225,268.50x = 314,939.25 × 314,939.25
  4. Step 4: Simplify right side
    225,268.50x = 99,186,731,190.56
  5. Step 5: Solve for x
    x = 99,186,731,190.56/225,268.50
  6. Step 6: Final answer
    x = 440,304.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.