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Finding the Third Proportional to 203,420 and 314,976

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Solution

The third proportional to 203,420 and 314,976 is: 487,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,420 : 314,976 = 314,976 : x
  2. Step 2: Convert to fraction form
    203,420/314,976 = 314,976/x
  3. Step 3: Cross multiply
    203,420x = 314,976 × 314,976
  4. Step 4: Simplify right side
    203,420x = 99,209,880,576
  5. Step 5: Solve for x
    x = 99,209,880,576/203,420
  6. Step 6: Final answer
    x = 487,709.57

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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.