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Finding the Third Proportional to 203,874 and 314,716

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Solution

The third proportional to 203,874 and 314,716 is: 485,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,874 : 314,716 = 314,716 : x
  2. Step 2: Convert to fraction form
    203,874/314,716 = 314,716/x
  3. Step 3: Cross multiply
    203,874x = 314,716 × 314,716
  4. Step 4: Simplify right side
    203,874x = 99,046,160,656
  5. Step 5: Solve for x
    x = 99,046,160,656/203,874
  6. Step 6: Final answer
    x = 485,820.46

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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.