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Finding the Third Proportional to 225,268 and 314,938

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Solution

The third proportional to 225,268 and 314,938 is: 440,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,268 : 314,938 = 314,938 : x
  2. Step 2: Convert to fraction form
    225,268/314,938 = 314,938/x
  3. Step 3: Cross multiply
    225,268x = 314,938 × 314,938
  4. Step 4: Simplify right side
    225,268x = 99,185,943,844
  5. Step 5: Solve for x
    x = 99,185,943,844/225,268
  6. Step 6: Final answer
    x = 440,301.97

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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.