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Finding the Third Proportional to 203,422 and 314,980

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Solution

The third proportional to 203,422 and 314,980 is: 487,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,422 : 314,980 = 314,980 : x
  2. Step 2: Convert to fraction form
    203,422/314,980 = 314,980/x
  3. Step 3: Cross multiply
    203,422x = 314,980 × 314,980
  4. Step 4: Simplify right side
    203,422x = 99,212,400,400
  5. Step 5: Solve for x
    x = 99,212,400,400/203,422
  6. Step 6: Final answer
    x = 487,717.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.